2257643520 has 576 divisors, whose sum is σ = 9107017920. Its totient is φ = 511180800.

The previous prime is 2257643519. The next prime is 2257643527. The reversal of 2257643520 is 253467522.

2257643520 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 643 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (2257643527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17233855 + ... + 17233985.

It is an arithmetic number, because the mean of its divisors is an integer number (15810795).

Almost surely, 2^2257643520 is an apocalyptic number.

2257643520 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 2257643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553508960).

2257643520 is an abundant number, since it is smaller than the sum of its proper divisors (6849374400).

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

2257643520 is a wasteful number, since it uses less digits than its factorization.

2257643520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2257643520 is about 47514.6663673439. Note that the first 3 decimals coincide. The cubic root of 2257643520 is about 1311.8528488544.

The spelling of 2257643520 in words is "two billion, two hundred fifty-seven million, six hundred forty-three thousand, five hundred twenty".