2137547072 has 28 divisors (see below), whose sum is σ = 4243951380. Its totient is φ = 1068205056.

The previous prime is 2137547059. The next prime is 2137547077. The reversal of 2137547072 is 2707457312.

It can be written as a sum of positive squares in 2 ways, for example, as 1262807296 + 874739776 = 35536^2 + 29576^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137547077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128954 + ... + 144582.

Almost surely, 2^2137547072 is an apocalyptic number.

It is an amenable number.

2137547072 is a deficient number, since it is larger than the sum of its proper divisors (2106404308).

2137547072 is a wasteful number, since it uses less digits than its factorization.

2137547072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17778 (or 17768 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 38.

The square root of 2137547072 is about 46233.6140919137. The cubic root of 2137547072 is about 1288.1661887074.

It can be divided in two parts, 2137 and 547072, that multiplied together give a square (1169092864 = 34192²).

The spelling of 2137547072 in words is "two billion, one hundred thirty-seven million, five hundred forty-seven thousand, seventy-two".