2680661952 has 140 divisors (see below), whose sum is σ = 7973628960. Its totient is φ = 890486784.

The previous prime is 2680661941. The next prime is 2680661957. The reversal of 2680661952 is 2591660862.

2680661952 is a `hidden beast` number, since 26 + 8 + 0 + 6 + 619 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2680661898 and 2680661907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680661957) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1901824 + ... + 1903232.

Almost surely, 2^2680661952 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 2680661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986814480).

2680661952 is an abundant number, since it is smaller than the sum of its proper divisors (5292967008).

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

2680661952 is a wasteful number, since it uses less digits than its factorization.

2680661952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2680661952 is about 51775.1093866541. The cubic root of 2680661952 is about 1389.1442642727.

The spelling of 2680661952 in words is "two billion, six hundred eighty million, six hundred sixty-one thousand, nine hundred fifty-two".