2690552736 has 144 divisors (see below), whose sum is σ = 8183048328. Its totient is φ = 835584000.

The previous prime is 2690552707. The next prime is 2690552737. The reversal of 2690552736 is 6372550962.

2690552736 is a `hidden beast` number, since 2 + 6 + 90 + 5 + 527 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2616936336 + 73616400 = 51156^2 + 8580^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2690552691 and 2690552700.

It is not an unprimeable number, because it can be changed into a prime (2690552737) 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 23 ways as a sum of consecutive naturals, for example, 491776 + ... + 497216.

Almost surely, 2^2690552736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2690552736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091524164).

2690552736 is an abundant number, since it is smaller than the sum of its proper divisors (5492495592).

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

2690552736 is a wasteful number, since it uses less digits than its factorization.

2690552736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 2690552736 is about 51870.5382273984. The cubic root of 2690552736 is about 1390.8506664309.

The spelling of 2690552736 in words is "two billion, six hundred ninety million, five hundred fifty-two thousand, seven hundred thirty-six".