2032877952 has 256 divisors, whose sum is σ = 7261747200. Its totient is φ = 546545664.

The previous prime is 2032877947. The next prime is 2032877953. The reversal of 2032877952 is 2597782302.

It is a junction number, because it is equal to n+sod(n) for n = 2032877898 and 2032877907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032877953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408793 + ... + 413735.

It is an arithmetic number, because the mean of its divisors is an integer number (28366200).

Almost surely, 2^2032877952 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 2032877952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630873600).

2032877952 is an abundant number, since it is smaller than the sum of its proper divisors (5228869248).

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

2032877952 is a wasteful number, since it uses less digits than its factorization.

2032877952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2032877952 is about 45087.4478319632. The cubic root of 2032877952 is about 1266.7874977376.

The spelling of 2032877952 in words is "two billion, thirty-two million, eight hundred seventy-seven thousand, nine hundred fifty-two".