2742411137256 has 192 divisors, whose sum is σ = 8689807526400. Its totient is φ = 764972740224.

The previous prime is 2742411137243. The next prime is 2742411137329. The reversal of 2742411137256 is 6527311142472.

2742411137256 is a `hidden beast` number, since 27 + 4 + 241 + 1 + 137 + 256 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49102515 + ... + 49158333.

It is an arithmetic number, because the mean of its divisors is an integer number (45259414200).

Almost surely, 2^{2742411137256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742411137256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344903763200).

2742411137256 is an abundant number, since it is smaller than the sum of its proper divisors (5947396389144).

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

2742411137256 is a wasteful number, since it uses less digits than its factorization.

2742411137256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58148 (or 58141 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 2742411137256 in words is "two trillion, seven hundred forty-two billion, four hundred eleven million, one hundred thirty-seven thousand, two hundred fifty-six".