2695349629504 has 189 divisors, whose sum is σ = 6570780455187. Its totient is φ = 1093643244288.

The previous prime is 2695349629487. The next prime is 2695349629529. The reversal of 2695349629504 is 4059269435962.

The square root of 2695349629504 is 1641752.

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

2695349629504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1746823357 + ... + 1746824899.

Almost surely, 2^{2695349629504} is an apocalyptic number.

2695349629504 is the 1641752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2695349629504

2695349629504 is an abundant number, since it is smaller than the sum of its proper divisors (3875430825683).

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

2695349629504 is an frugal number, since it uses more digits than its factorization.

2695349629504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 64.

Multiplying 2695349629504 by its sum of digits (64), we get a square (172502376288256 = 13134016²).

2695349629504 divided by its sum of digits (64) gives a square (42114837961 = 205219²).

The spelling of 2695349629504 in words is "two trillion, six hundred ninety-five billion, three hundred forty-nine million, six hundred twenty-nine thousand, five hundred four".