2257340918400 has 480 divisors, whose sum is σ = 8364597964800. Its totient is φ = 601940782080.

The previous prime is 2257340918387. The next prime is 2257340918401. The reversal of 2257340918400 is 48190437522.

2257340918400 is a `hidden beast` number, since 2 + 257 + 340 + 9 + 18 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (2257340918401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 62967681 + ... + 63003519.

It is an arithmetic number, because the mean of its divisors is an integer number (17426245760).

Almost surely, 2^{2257340918400} is an apocalyptic number.

2257340918400 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 2257340918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182298982400).

2257340918400 is an abundant number, since it is smaller than the sum of its proper divisors (6107257046400).

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

2257340918400 is an frugal number, since it uses more digits than its factorization.

2257340918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35890 (or 35849 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2257340918400 in words is "two trillion, two hundred fifty-seven billion, three hundred forty million, nine hundred eighteen thousand, four hundred".