1002652048 has 80 divisors (see below), whose sum is σ = 2069086320. Its totient is φ = 470016000.

The previous prime is 1002652037. The next prime is 1002652069. The reversal of 1002652048 is 8402562001.

It can be written as a sum of positive squares in 8 ways, for example, as 215737344 + 786914704 = 14688^2 + 28052^2 .

It is a super-2 number, since 2×1002652048² = 2010622258717188608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2451268 + ... + 2451676.

It is an arithmetic number, because the mean of its divisors is an integer number (25863579).

Almost surely, 2^1002652048 is an apocalyptic number.

It is an amenable number.

1002652048 is an abundant number, since it is smaller than the sum of its proper divisors (1066434272).

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

1002652048 is a wasteful number, since it uses less digits than its factorization.

1002652048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 1002652048 is about 31664.6813974182. The cubic root of 1002652048 is about 1000.8832356651.

The spelling of 1002652048 in words is "one billion, two million, six hundred fifty-two thousand, forty-eight".