2657054911140 has 288 divisors, whose sum is σ = 9309232558080. Its totient is φ = 600890400000.

The previous prime is 2657054911139. The next prime is 2657054911141. The reversal of 2657054911140 is 411194507562.

2657054911140 is a `hidden beast` number, since 2 + 6 + 57 + 0 + 549 + 1 + 11 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2657054911139) and next prime (2657054911141).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2657054911141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47727441 + ... + 47783079.

It is an arithmetic number, because the mean of its divisors is an integer number (32323724160).

Almost surely, 2^{2657054911140} is an apocalyptic number.

2657054911140 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 2657054911140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654616279040).

2657054911140 is an abundant number, since it is smaller than the sum of its proper divisors (6652177646940).

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

2657054911140 is a wasteful number, since it uses less digits than its factorization.

2657054911140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56063 (or 56058 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2657054911140 in words is "two trillion, six hundred fifty-seven billion, fifty-four million, nine hundred eleven thousand, one hundred forty".