2251583880 has 512 divisors, whose sum is σ = 8778792960. Its totient is φ = 449372160.

The previous prime is 2251583869. The next prime is 2251583881. The reversal of 2251583880 is 883851522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2251583881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21042787 + ... + 21042893.

It is an arithmetic number, because the mean of its divisors is an integer number (17146080).

Almost surely, 2^2251583880 is an apocalyptic number.

2251583880 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 2251583880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389396480).

2251583880 is an abundant number, since it is smaller than the sum of its proper divisors (6527209080).

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

2251583880 is a wasteful number, since it uses less digits than its factorization.

2251583880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 2251583880 is about 47450.8575264979. The cubic root of 2251583880 is about 1310.6781020116.

The spelling of 2251583880 in words is "two billion, two hundred fifty-one million, five hundred eighty-three thousand, eight hundred eighty".