2557314437040 has 160 divisors (see below), whose sum is σ = 9609302822400. Its totient is φ = 619955009280.

The previous prime is 2557314437033. The next prime is 2557314437047. The reversal of 2557314437040 is 407344137552.

It is a happy number.

2557314437040 is a `hidden beast` number, since 2 + 5 + 573 + 1 + 4 + 4 + 3 + 70 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2557314437033) and next prime (2557314437047).

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 (2557314437047) 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, 53791780 + ... + 53839299.

It is an arithmetic number, because the mean of its divisors is an integer number (60058142640).

Almost surely, 2^{2557314437040} is an apocalyptic number.

2557314437040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2557314437040 is an abundant number, since it is smaller than the sum of its proper divisors (7051988385360).

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

2557314437040 is a wasteful number, since it uses less digits than its factorization.

2557314437040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107631112 (or 107631100 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 2557314437040 in words is "two trillion, five hundred fifty-seven billion, three hundred fourteen million, four hundred thirty-seven thousand, forty".