2690842752 has 192 divisors, whose sum is σ = 8378861400. Its totient is φ = 823984128.

The previous prime is 2690842747. The next prime is 2690842769. The reversal of 2690842752 is 2572480962.

It can be written as a sum of positive squares in 4 ways, for example, as 2147766336 + 543076416 = 46344^2 + 23304^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2690842698 and 2690842707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5286274 + ... + 5286782.

Almost surely, 2^2690842752 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 2690842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189430700).

2690842752 is an abundant number, since it is smaller than the sum of its proper divisors (5688018648).

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

2690842752 is a wasteful number, since it uses less digits than its factorization.

2690842752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2690842752 is about 51873.3337274558. Note that the first 3 decimals coincide. The cubic root of 2690842752 is about 1390.9006381274.

The spelling of 2690842752 in words is "two billion, six hundred ninety million, eight hundred forty-two thousand, seven hundred fifty-two".