2831120087040 has 1440 divisors, whose sum is σ = 12099393306000. Its totient is φ = 630958325760.

The previous prime is 2831120087021. The next prime is 2831120087057. The reversal of 2831120087040 is 407800211382.

2831120087040 is a `hidden beast` number, since 28 + 311 + 200 + 87 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2831120086986 and 2831120087004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1666344111 + ... + 1666345809.

Almost surely, 2^{2831120087040} is an apocalyptic number.

2831120087040 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 2831120087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049696653000).

2831120087040 is an abundant number, since it is smaller than the sum of its proper divisors (9268273218960).

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

2831120087040 is a wasteful number, since it uses less digits than its factorization.

2831120087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 2831120087040 in words is "two trillion, eight hundred thirty-one billion, one hundred twenty million, eighty-seven thousand, forty".