2258467952400 has 1575 divisors, whose sum is σ = 9354690212245. Its totient is φ = 523702713600.

The previous prime is 2258467952381. The next prime is 2258467952413. The reversal of 2258467952400 is 42597648522.

The square root of 2258467952400 is 1502820.

It is a perfect power (a square), and thus also a powerful number.

2258467952400 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 46 + 79 + 524 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 813048462864 + 1445419489536 = 901692^2 + 1202256^2 .

It is a Smith number, since the sum of its digits (54) 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 (54).

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 314 ways as a sum of consecutive naturals, for example, 98194258789 + ... + 98194258811.

Almost surely, 2^{2258467952400} is an apocalyptic number.

2258467952400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2258467952400 is the 1502820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258467952400

2258467952400 is an abundant number, since it is smaller than the sum of its proper divisors (7096222259845).

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

2258467952400 is an frugal number, since it uses more digits than its factorization.

2258467952400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2258467952400 in words is "two trillion, two hundred fifty-eight billion, four hundred sixty-seven million, nine hundred fifty-two thousand, four hundred".