2968183680 has 512 divisors, whose sum is σ = 12500075520. Its totient is φ = 579993600.

The previous prime is 2968183679. The next prime is 2968183733. The reversal of 2968183680 is 863818692.

It is a super-2 number, since 2×2968183680² = 17620228716436684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2512690 + ... + 2513870.

It is an arithmetic number, because the mean of its divisors is an integer number (24414210).

Almost surely, 2^2968183680 is an apocalyptic number.

2968183680 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 2968183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250037760).

2968183680 is an abundant number, since it is smaller than the sum of its proper divisors (9531891840).

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

2968183680 is a wasteful number, since it uses less digits than its factorization.

2968183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 2968183680 is about 54481.0396376574. The cubic root of 2968183680 is about 1437.1328754222.

The spelling of 2968183680 in words is "two billion, nine hundred sixty-eight million, one hundred eighty-three thousand, six hundred eighty".