2249872128 has 108 divisors (see below), whose sum is σ = 7413694288. Its totient is φ = 642816000.

The previous prime is 2249872091. The next prime is 2249872133. The reversal of 2249872128 is 8212789422.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53623 + ... + 85878.

Almost surely, 2^2249872128 is an apocalyptic number.

2249872128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2249872128 is an abundant number, since it is smaller than the sum of its proper divisors (5163822160).

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

2249872128 is a wasteful number, since it uses less digits than its factorization.

2249872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139530 (or 139513 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2249872128 is about 47432.8169941445. The cubic root of 2249872128 is about 1310.3458729717.

It can be divided in two parts, 2249872 and 128, that added together give a square (2250000 = 1500²).

The spelling of 2249872128 in words is "two billion, two hundred forty-nine million, eight hundred seventy-two thousand, one hundred twenty-eight".