2288994477120 has 1344 divisors, whose sum is σ = 9018356465664. Its totient is φ = 528957112320.

The previous prime is 2288994477113. The next prime is 2288994477137. The reversal of 2288994477120 is 217744998822.

2288994477120 is a `hidden beast` number, since 2 + 2 + 88 + 99 + 447 + 7 + 1 + 20 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7812267694 + ... + 7812267986.

It is an arithmetic number, because the mean of its divisors is an integer number (6710086656).

Almost surely, 2^{2288994477120} is an apocalyptic number.

2288994477120 is a gapful number since it is divisible by the number (20) 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 2288994477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509178232832).

2288994477120 is an abundant number, since it is smaller than the sum of its proper divisors (6729361988544).

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

2288994477120 is a wasteful number, since it uses less digits than its factorization.

2288994477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 2288994477120 in words is "two trillion, two hundred eighty-eight billion, nine hundred ninety-four million, four hundred seventy-seven thousand, one hundred twenty".