2402968680 has 192 divisors, whose sum is σ = 9256141440. Its totient is φ = 549234432.

The previous prime is 2402968639. The next prime is 2402968691. The reversal of 2402968680 is 868692042.

2402968680 is a `hidden beast` number, since 2 + 402 + 96 + 86 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50382 + ... + 85698.

It is an arithmetic number, because the mean of its divisors is an integer number (48209070).

Almost surely, 2^2402968680 is an apocalyptic number.

2402968680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2402968680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628070720).

2402968680 is an abundant number, since it is smaller than the sum of its proper divisors (6853172760).

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

2402968680 is a wasteful number, since it uses less digits than its factorization.

2402968680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35350 (or 35334 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2402968680 is about 49020.0844552516. The cubic root of 2402968680 is about 1339.4177094318.

The spelling of 2402968680 in words is "two billion, four hundred two million, nine hundred sixty-eight thousand, six hundred eighty".