2251210752 has 240 divisors, whose sum is σ = 7633400320. Its totient is φ = 642318336.

The previous prime is 2251210711. The next prime is 2251210789. The reversal of 2251210752 is 2570121522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3096213 + ... + 3096939.

Almost surely, 2^2251210752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251210752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816700160).

2251210752 is an abundant number, since it is smaller than the sum of its proper divisors (5382189568).

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

2251210752 is an frugal number, since it uses more digits than its factorization.

2251210752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 2251210752 is about 47446.9256327531. The cubic root of 2251210752 is about 1310.6056970229.

The spelling of 2251210752 in words is "two billion, two hundred fifty-one million, two hundred ten thousand, seven hundred fifty-two".