2249977520 has 80 divisors (see below), whose sum is σ = 6171414528. Its totient is φ = 746530560.

The previous prime is 2249977501. The next prime is 2249977559. The reversal of 2249977520 is 257799422.

It is a happy number.

2249977520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2249977520³ (a number of 29 digits) contains 333 as substring.

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, 47444 + ... + 82163.

Almost surely, 2^2249977520 is an apocalyptic number.

2249977520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2249977520 is an abundant number, since it is smaller than the sum of its proper divisors (3921437008).

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

2249977520 is a wasteful number, since it uses less digits than its factorization.

2249977520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129658 (or 129652 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 47.

The square root of 2249977520 is about 47433.9279419278. The cubic root of 2249977520 is about 1310.3663330702.

The spelling of 2249977520 in words is "two billion, two hundred forty-nine million, nine hundred seventy-seven thousand, five hundred twenty".