2257689600 has 396 divisors, whose sum is σ = 8315405280. Its totient is φ = 584908800.

The previous prime is 2257689593. The next prime is 2257689613. The reversal of 2257689600 is 69867522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9446281 + ... + 9446519.

Almost surely, 2^2257689600 is an apocalyptic number.

2257689600 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 2257689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157702640).

2257689600 is an abundant number, since it is smaller than the sum of its proper divisors (6057715680).

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

2257689600 is a wasteful number, since it uses less digits than its factorization.

2257689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2257689600 is about 47515.1512677798. The cubic root of 2257689600 is about 1311.8617740556.

The spelling of 2257689600 in words is "two billion, two hundred fifty-seven million, six hundred eighty-nine thousand, six hundred".