2937532049929 has 27 divisors (see below), whose sum is σ = 3199759672501. Its totient is φ = 2696206549760.

The previous prime is 2937532049909. The next prime is 2937532049939. The reversal of 2937532049929 is 9299402357392.

The square root of 2937532049929 is 1713923.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 206947657225 + 2730584392704 = 454915^2 + 1652448^2 .

It is not a de Polignac number, because 2937532049929 - 2⁷ = 2937532049801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2937532049909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1194603102 + ... + 1194605560.

Almost surely, 2^{2937532049929} is an apocalyptic number.

2937532049929 is the 1713923-rd square number.

2937532049929 is the 856962-nd centered octagonal number.

It is an amenable number.

2937532049929 is a deficient number, since it is larger than the sum of its proper divisors (262227622572).

2937532049929 is an frugal number, since it uses more digits than its factorization.

2937532049929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 64.

Multiplying 2937532049929 by its sum of digits (64), we get a square (188002051195456 = 13711384²).

The spelling of 2937532049929 in words is "two trillion, nine hundred thirty-seven billion, five hundred thirty-two million, forty-nine thousand, nine hundred twenty-nine".