2252924544 has 128 divisors (see below), whose sum is σ = 6784142400. Its totient is φ = 656695296.

The previous prime is 2252924533. The next prime is 2252924567. The reversal of 2252924544 is 4454292522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82972 + ... + 106724.

Almost surely, 2^2252924544 is an apocalyptic number.

2252924544 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 2252924544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392071200).

2252924544 is an abundant number, since it is smaller than the sum of its proper divisors (4531217856).

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

2252924544 is a wasteful number, since it uses less digits than its factorization.

2252924544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23802 (or 23790 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 2252924544 is about 47464.9822922120. The cubic root of 2252924544 is about 1310.9381900794.

The spelling of 2252924544 in words is "two billion, two hundred fifty-two million, nine hundred twenty-four thousand, five hundred forty-four".