2251712580 has 192 divisors, whose sum is σ = 6982053120. Its totient is φ = 538804224.

The previous prime is 2251712539. The next prime is 2251712597. The reversal of 2251712580 is 852171522.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5200044 + ... + 5200476.

It is an arithmetic number, because the mean of its divisors is an integer number (36364860).

Almost surely, 2^2251712580 is an apocalyptic number.

2251712580 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 2251712580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491026560).

2251712580 is an abundant number, since it is smaller than the sum of its proper divisors (4730340540).

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

2251712580 is a wasteful number, since it uses less digits than its factorization.

2251712580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 2251712580 is about 47452.2136469944. The cubic root of 2251712580 is about 1310.7030742189.

The spelling of 2251712580 in words is "two billion, two hundred fifty-one million, seven hundred twelve thousand, five hundred eighty".