2258572500 has 180 divisors, whose sum is σ = 7329694372. Its totient is φ = 585792000.

The previous prime is 2258572493. The next prime is 2258572507. The reversal of 2258572500 is 52758522.

2258572500 is a `hidden beast` number, since 2 + 2 + 5 + 85 + 72 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (2258572493) and next prime (2258572507).

It can be written as a sum of positive squares in 10 ways, for example, as 531671364 + 1726901136 = 23058^2 + 41556^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2258572500² = 10202299475512500000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258572507) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 831144 + ... + 833856.

Almost surely, 2^2258572500 is an apocalyptic number.

2258572500 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 2258572500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664847186).

2258572500 is an abundant number, since it is smaller than the sum of its proper divisors (5071121872).

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

2258572500 is a wasteful number, since it uses less digits than its factorization.

2258572500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 2258572500 is about 47524.4410803536. The cubic root of 2258572500 is about 1312.0327588551.

The spelling of 2258572500 in words is "two billion, two hundred fifty-eight million, five hundred seventy-two thousand, five hundred".