2257144001640 has 96 divisors (see below), whose sum is σ = 8002601474400. Its totient is φ = 547186423680.

The previous prime is 2257144001633. The next prime is 2257144001647. The reversal of 2257144001640 is 461004417522.

2257144001640 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 1 + 4 + 4 + 0 + 0 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2257144001633) and next prime (2257144001647).

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 = 2257144001595 and 2257144001604.

It is not an unprimeable number, because it can be changed into a prime (2257144001647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284988970 + ... + 284996889.

It is an arithmetic number, because the mean of its divisors is an integer number (83360432025).

Almost surely, 2^{2257144001640} is an apocalyptic number.

2257144001640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2257144001640 is an abundant number, since it is smaller than the sum of its proper divisors (5745457472760).

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

2257144001640 is a wasteful number, since it uses less digits than its factorization.

2257144001640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569985887 (or 569985880 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2257144001640 in words is "two trillion, two hundred fifty-seven billion, one hundred forty-four million, one thousand, six hundred forty".