2249615376 has 160 divisors (see below), whose sum is σ = 6767424000. Its totient is φ = 714534912.

The previous prime is 2249615363. The next prime is 2249615387. The reversal of 2249615376 is 6735169422.

2249615376 is a `hidden beast` number, since 2 + 2 + 496 + 153 + 7 + 6 = 666.

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, 988576 + ... + 990848.

It is an arithmetic number, because the mean of its divisors is an integer number (42296400).

Almost surely, 2^2249615376 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 2249615376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383712000).

2249615376 is an abundant number, since it is smaller than the sum of its proper divisors (4517808624).

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

2249615376 is a wasteful number, since it uses less digits than its factorization.

2249615376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2386 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 2249615376 is about 47430.1104363041. The cubic root of 2249615376 is about 1310.2960261800.

The spelling of 2249615376 in words is "two billion, two hundred forty-nine million, six hundred fifteen thousand, three hundred seventy-six".