2251715544 has 128 divisors (see below), whose sum is σ = 6753600000. Its totient is φ = 691016832.

The previous prime is 2251715533. The next prime is 2251715561. The reversal of 2251715544 is 4455171522.

2251715544 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2251715499 and 2251715508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1400389 + ... + 1401995.

It is an arithmetic number, because the mean of its divisors is an integer number (52762500).

Almost surely, 2^2251715544 is an apocalyptic number.

2251715544 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 2251715544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376800000).

2251715544 is an abundant number, since it is smaller than the sum of its proper divisors (4501884456).

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

2251715544 is a wasteful number, since it uses less digits than its factorization.

2251715544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2124 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 2251715544 is about 47452.2448784038. The cubic root of 2251715544 is about 1310.7036493252.

The spelling of 2251715544 in words is "two billion, two hundred fifty-one million, seven hundred fifteen thousand, five hundred forty-four".