2872785888 has 144 divisors (see below), whose sum is σ = 9535518720. Its totient is φ = 803305728.

The previous prime is 2872785887. The next prime is 2872785899. The reversal of 2872785888 is 8885872782.

2872785888 is a `hidden beast` number, since 28 + 7 + 27 + 8 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872785887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79593 + ... + 109911.

It is an arithmetic number, because the mean of its divisors is an integer number (66218880).

Almost surely, 2^2872785888 is an apocalyptic number.

2872785888 is a gapful number since it is divisible by the number (28) 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 2872785888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767759360).

2872785888 is an abundant number, since it is smaller than the sum of its proper divisors (6662732832).

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

2872785888 is a wasteful number, since it uses less digits than its factorization.

2872785888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30389 (or 30378 counting only the distinct ones).

The product of its digits is 32112640, while the sum is 63.

The square root of 2872785888 is about 53598.3757962870. The cubic root of 2872785888 is about 1421.5683735721.

The spelling of 2872785888 in words is "two billion, eight hundred seventy-two million, seven hundred eighty-five thousand, eight hundred eighty-eight".