2257537651200 has 1440 divisors, whose sum is σ = 9319047209472. Its totient is φ = 537477120000.

The previous prime is 2257537651199. The next prime is 2257537651217. The reversal of 2257537651200 is 21567357522.

2257537651200 is a `hidden beast` number, since 2 + 2 + 5 + 75 + 376 + 5 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2257537651200² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1253490300 + ... + 1253492100.

Almost surely, 2^{2257537651200} is an apocalyptic number.

2257537651200 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 2257537651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659523604736).

2257537651200 is an abundant number, since it is smaller than the sum of its proper divisors (7061509558272).

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

2257537651200 is a wasteful number, since it uses less digits than its factorization.

2257537651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 2257537651200 in words is "two trillion, two hundred fifty-seven billion, five hundred thirty-seven million, six hundred fifty-one thousand, two hundred".