2249152704 has 112 divisors (see below), whose sum is σ = 6899696640. Its totient is φ = 717108480.

The previous prime is 2249152691. The next prime is 2249152769. The reversal of 2249152704 is 4072519422.

It is a hoax number, since the sum of its digits (36) 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 (36).

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, 11449 + ... + 68039.

Almost surely, 2^2249152704 is an apocalyptic number.

2249152704 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 2249152704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449848320).

2249152704 is an abundant number, since it is smaller than the sum of its proper divisors (4650543936).

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

2249152704 is a wasteful number, since it uses less digits than its factorization.

2249152704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56635 (or 56619 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2249152704 is about 47425.2327774994. The cubic root of 2249152704 is about 1310.2061917346.

The spelling of 2249152704 in words is "two billion, two hundred forty-nine million, one hundred fifty-two thousand, seven hundred four".