2100265632 has 96 divisors (see below), whose sum is σ = 6291432000. Its totient is φ = 681156864.

The previous prime is 2100265621. The next prime is 2100265649. The reversal of 2100265632 is 2365620012.

2100265632 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 2 + 656 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2100265632² = 8822231449920718848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2100265596 and 2100265605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882 + ... + 64817.

It is an arithmetic number, because the mean of its divisors is an integer number (65535750).

Almost surely, 2^2100265632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100265632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145716000).

2100265632 is an abundant number, since it is smaller than the sum of its proper divisors (4191166368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2100265632 is a wasteful number, since it uses less digits than its factorization.

2100265632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65755 (or 65741 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2100265632 is about 45828.6551406432. The cubic root of 2100265632 is about 1280.6331568071.

Adding to 2100265632 its reverse (2365620012), we get a palindrome (4465885644).

The spelling of 2100265632 in words is "two billion, one hundred million, two hundred sixty-five thousand, six hundred thirty-two".