2611031920128 has 120 divisors (see below), whose sum is σ = 7536248062200. Its totient is φ = 870270849024.

The previous prime is 2611031920087. The next prime is 2611031920177. The reversal of 2611031920128 is 8210291301162.

2611031920128 is a `hidden beast` number, since 2 + 6 + 110 + 319 + 201 + 28 = 666.

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 = 2611031920092 and 2611031920101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109607803 + ... + 109631621.

It is an arithmetic number, because the mean of its divisors is an integer number (62802067185).

Almost surely, 2^{2611031920128} is an apocalyptic number.

It is an amenable number.

2611031920128 is an abundant number, since it is smaller than the sum of its proper divisors (4925216142072).

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

2611031920128 is a wasteful number, since it uses less digits than its factorization.

2611031920128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47632 (or 47613 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 2611031920128 in words is "two trillion, six hundred eleven billion, thirty-one million, nine hundred twenty thousand, one hundred twenty-eight".