2252921580 has 576 divisors, whose sum is σ = 9176186880. Its totient is φ = 446777856.

The previous prime is 2252921563. The next prime is 2252921581. The reversal of 2252921580 is 851292522.

2252921580 is a `hidden beast` number, since 2 + 2 + 52 + 9 + 21 + 580 = 666.

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 (2252921581) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17739477 + ... + 17739603.

It is an arithmetic number, because the mean of its divisors is an integer number (15930880).

Almost surely, 2^2252921580 is an apocalyptic number.

2252921580 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 2252921580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588093440).

2252921580 is an abundant number, since it is smaller than the sum of its proper divisors (6923265300).

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

2252921580 is a wasteful number, since it uses less digits than its factorization.

2252921580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2252921580 is about 47464.9510691837. The cubic root of 2252921580 is about 1310.9376151789.

The spelling of 2252921580 in words is "two billion, two hundred fifty-two million, nine hundred twenty-one thousand, five hundred eighty".