2251309632 has 224 divisors, whose sum is σ = 7054193664. Its totient is φ = 624691200.

The previous prime is 2251309603. The next prime is 2251309633. The reversal of 2251309632 is 2369031522.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2251309593 and 2251309602.

It is not an unprimeable number, because it can be changed into a prime (2251309633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4584907 + ... + 4585397.

It is an arithmetic number, because the mean of its divisors is an integer number (31491936).

Almost surely, 2^2251309632 is an apocalyptic number.

2251309632 is a gapful number since it is divisible by the number (22) 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 2251309632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527096832).

2251309632 is an abundant number, since it is smaller than the sum of its proper divisors (4802884032).

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

2251309632 is a wasteful number, since it uses less digits than its factorization.

2251309632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 2251309632 is about 47447.9676277077. The cubic root of 2251309632 is about 1310.6248853336.

The spelling of 2251309632 in words is "two billion, two hundred fifty-one million, three hundred nine thousand, six hundred thirty-two".