2802905952 has 144 divisors (see below), whose sum is σ = 9242908416. Its totient is φ = 728006400.

The previous prime is 2802905921. The next prime is 2802905969. The reversal of 2802905952 is 2595092082.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64077 + ... + 98547.

It is an arithmetic number, because the mean of its divisors is an integer number (64186864).

Almost surely, 2^2802905952 is an apocalyptic number.

2802905952 is a gapful number since it is divisible by the number (22) 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 2802905952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621454208).

2802905952 is an abundant number, since it is smaller than the sum of its proper divisors (6440002464).

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

2802905952 is a wasteful number, since it uses less digits than its factorization.

2802905952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34513 (or 34494 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 2802905952 is about 52942.4777659678. The cubic root of 2802905952 is about 1409.9471757284.

The spelling of 2802905952 in words is "two billion, eight hundred two million, nine hundred five thousand, nine hundred fifty-two".