2257144250400 has 1440 divisors, whose sum is σ = 9436431810960. Its totient is φ = 520118599680.

The previous prime is 2257144250399. The next prime is 2257144250437. The reversal of 2257144250400 is 40524417522.

2257144250400 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 144 + 2 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 620269655184 + 1636874595216 = 787572^2 + 1279404^2 .

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

It is a super-2 number, since 2×2257144250400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3966861316 + ... + 3966861884.

Almost surely, 2^{2257144250400} is an apocalyptic number.

2257144250400 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 2257144250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718215905480).

2257144250400 is an abundant number, since it is smaller than the sum of its proper divisors (7179287560560).

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

2257144250400 is a wasteful number, since it uses less digits than its factorization.

2257144250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

Adding to 2257144250400 its reverse (40524417522), we get a palindrome (2297668667922).

The spelling of 2257144250400 in words is "two trillion, two hundred fifty-seven billion, one hundred forty-four million, two hundred fifty thousand, four hundred".