2709497506964 has 24 divisors (see below), whose sum is σ = 5193661553640. Its totient is φ = 1231090144256.

The previous prime is 2709497506939. The next prime is 2709497507021. The reversal of 2709497506964 is 4696057949072.

It can be written as a sum of positive squares in 4 ways, for example, as 1051326216964 + 1658171290000 = 1025342^2 + 1287700^2 .

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 2709497506894 and 2709497506903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686990297 + ... + 686994240.

It is an arithmetic number, because the mean of its divisors is an integer number (216402564735).

Almost surely, 2^{2709497506964} is an apocalyptic number.

It is an amenable number.

2709497506964 is a deficient number, since it is larger than the sum of its proper divisors (2484164046676).

2709497506964 is a wasteful number, since it uses less digits than its factorization.

2709497506964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373984587 (or 1373984585 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 68.

The spelling of 2709497506964 in words is "two trillion, seven hundred nine billion, four hundred ninety-seven million, five hundred six thousand, nine hundred sixty-four".