2032512768 has 432 divisors, whose sum is σ = 7142553600. Its totient is φ = 547430400.

The previous prime is 2032512739. The next prime is 2032512857. The reversal of 2032512768 is 8672152302.

It is a super-2 number, since 2×2032512768² = 8262216304166043648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10213533 + ... + 10213731.

Almost surely, 2^2032512768 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 2032512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571276800).

2032512768 is an abundant number, since it is smaller than the sum of its proper divisors (5110040832).

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

2032512768 is a wasteful number, since it uses less digits than its factorization.

2032512768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2032512768 is about 45083.3979198552. The cubic root of 2032512768 is about 1266.7116384156.

The spelling of 2032512768 in words is "two billion, thirty-two million, five hundred twelve thousand, seven hundred sixty-eight".