2251461624 has 64 divisors (see below), whose sum is σ = 5770569600. Its totient is φ = 731742336.

The previous prime is 2251461613. The next prime is 2251461629. The reversal of 2251461624 is 4261641522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251461629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201907 + ... + 212765.

It is an arithmetic number, because the mean of its divisors is an integer number (90165150).

Almost surely, 2^2251461624 is an apocalyptic number.

2251461624 is a gapful number since it is divisible by the number (24) 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 2251461624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885284800).

2251461624 is an abundant number, since it is smaller than the sum of its proper divisors (3519107976).

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

2251461624 is a wasteful number, since it uses less digits than its factorization.

2251461624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11084 (or 11080 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 2251461624 is about 47449.5692709639. The cubic root of 2251461624 is about 1310.6543792797.

The spelling of 2251461624 in words is "two billion, two hundred fifty-one million, four hundred sixty-one thousand, six hundred twenty-four".