2257494496800 has 72 divisors (see below), whose sum is σ = 7348144594896. Its totient is φ = 601998531840.

The previous prime is 2257494496799. The next prime is 2257494496811. The reversal of 2257494496800 is 86944947522.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 470308954 + ... + 470313753.

It is an arithmetic number, because the mean of its divisors is an integer number (102057563818).

Almost surely, 2^{2257494496800} is an apocalyptic number.

2257494496800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257494496800 is an abundant number, since it is smaller than the sum of its proper divisors (5090650098096).

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

2257494496800 is a wasteful number, since it uses less digits than its factorization.

2257494496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940622730 (or 940622717 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 2257494496800 in words is "two trillion, two hundred fifty-seven billion, four hundred ninety-four million, four hundred ninety-six thousand, eight hundred".