2690177310976 has 81 divisors (see below), whose sum is σ = 5614728379981. Its totient is φ = 1286317869056.

The previous prime is 2690177310949. The next prime is 2690177310979. The reversal of 2690177310976 is 6790137710962.

The square root of 2690177310976 is 1640176.

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

It can be written as a sum of positive squares in only one way, i.e., 1889195270400 + 800982040576 = 1374480^2 + 894976^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2690177310976.

It is not an unprimeable number, because it can be changed into a prime (2690177310979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 603582540 + ... + 603586996.

Almost surely, 2^{2690177310976} is an apocalyptic number.

2690177310976 is the 1640176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2690177310976

2690177310976 is an abundant number, since it is smaller than the sum of its proper divisors (2924551069005).

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

2690177310976 is an frugal number, since it uses more digits than its factorization.

2690177310976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8976 (or 4482 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 58.

The spelling of 2690177310976 in words is "two trillion, six hundred ninety billion, one hundred seventy-seven million, three hundred ten thousand, nine hundred seventy-six".