2879582901120 has 256 divisors, whose sum is σ = 10202104872000. Its totient is φ = 767619072000.

The previous prime is 2879582901113. The next prime is 2879582901121. The reversal of 2879582901120 is 211092859782.

2879582901120 is a `hidden beast` number, since 28 + 7 + 9 + 582 + 9 + 0 + 11 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2879582901121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51829516 + ... + 51885044.

Almost surely, 2^{2879582901120} is an apocalyptic number.

2879582901120 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 2879582901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5101052436000).

2879582901120 is an abundant number, since it is smaller than the sum of its proper divisors (7322521970880).

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

2879582901120 is a wasteful number, since it uses less digits than its factorization.

2879582901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58558 (or 58540 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 2879582901120 in words is "two trillion, eight hundred seventy-nine billion, five hundred eighty-two million, nine hundred one thousand, one hundred twenty".