2661974520 has 128 divisors (see below), whose sum is σ = 8129203200. Its totient is φ = 697222656.

The previous prime is 2661974503. The next prime is 2661974531. The reversal of 2661974520 is 254791662.

2661974520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2661974520² = 14172216690258460800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2151342 + ... + 2152578.

It is an arithmetic number, because the mean of its divisors is an integer number (63509400).

Almost surely, 2^2661974520 is an apocalyptic number.

2661974520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661974520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064601600).

2661974520 is an abundant number, since it is smaller than the sum of its proper divisors (5467228680).

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

2661974520 is a wasteful number, since it uses less digits than its factorization.

2661974520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2661974520 is about 51594.3264322735. The cubic root of 2661974520 is about 1385.9087329986.

The spelling of 2661974520 in words is "two billion, six hundred sixty-one million, nine hundred seventy-four thousand, five hundred twenty".