2896389985104 has 480 divisors, whose sum is σ = 10774753228800. Its totient is φ = 736299728640.

The previous prime is 2896389985039. The next prime is 2896389985117. The reversal of 2896389985104 is 4015899836982.

2896389985104 is a `hidden beast` number, since 28 + 9 + 6 + 3 + 89 + 9 + 8 + 510 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10811527 + ... + 11076185.

It is an arithmetic number, because the mean of its divisors is an integer number (22447402560).

Almost surely, 2^{2896389985104} is an apocalyptic number.

2896389985104 is a gapful number since it is divisible by the number (24) 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 2896389985104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387376614400).

2896389985104 is an abundant number, since it is smaller than the sum of its proper divisors (7878363243696).

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

2896389985104 is a wasteful number, since it uses less digits than its factorization.

2896389985104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264748 (or 264729 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 2896389985104 in words is "two trillion, eight hundred ninety-six billion, three hundred eighty-nine million, nine hundred eighty-five thousand, one hundred four".