2787232896 has 384 divisors, whose sum is σ = 9721008000. Its totient is φ = 783820800.

The previous prime is 2787232883. The next prime is 2787232907. The reversal of 2787232896 is 6982327872.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18458421 + ... + 18458571.

It is an arithmetic number, because the mean of its divisors is an integer number (25315125).

Almost surely, 2^2787232896 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 2787232896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860504000).

2787232896 is an abundant number, since it is smaller than the sum of its proper divisors (6933775104).

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

2787232896 is a wasteful number, since it uses less digits than its factorization.

2787232896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 272 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2787232896 is about 52794.2505960640. The cubic root of 2787232896 is about 1407.3142537090.

The spelling of 2787232896 in words is "two billion, seven hundred eighty-seven million, two hundred thirty-two thousand, eight hundred ninety-six".