2735570449936 has 45 divisors (see below), whose sum is σ = 5319064655823. Its totient is φ = 1362925902240.

The previous prime is 2735570449903. The next prime is 2735570449939. The reversal of 2735570449936 is 6399440755372.

The square root of 2735570449936 is 1653956.

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

2735570449936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2735570449939) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2507396751 + ... + 2507397841.

Almost surely, 2^{2735570449936} is an apocalyptic number.

2735570449936 is the 1653956-th square number.

It is an amenable number.

2735570449936 is a deficient number, since it is larger than the sum of its proper divisors (2583494205887).

2735570449936 is an frugal number, since it uses more digits than its factorization.

2735570449936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 64.

Multiplying 2735570449936 by its sum of digits (64), we get a square (175076508795904 = 13231648²).

The spelling of 2735570449936 in words is "two trillion, seven hundred thirty-five billion, five hundred seventy million, four hundred forty-nine thousand, nine hundred thirty-six".