2979960192 has 640 divisors, whose sum is σ = 10796781600. Its totient is φ = 805109760.

The previous prime is 2979960169. The next prime is 2979960197. The reversal of 2979960192 is 2910699792.

2979960192 is a `hidden beast` number, since 29 + 7 + 9 + 9 + 601 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979960197) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56225638 + ... + 56225690.

Almost surely, 2^2979960192 is an apocalyptic number.

2979960192 is a gapful number since it is divisible by the number (22) 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 2979960192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398390800).

2979960192 is an abundant number, since it is smaller than the sum of its proper divisors (7816821408).

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

2979960192 is a wasteful number, since it uses less digits than its factorization.

2979960192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 2979960192 is about 54589.0116415383. The cubic root of 2979960192 is about 1439.0310147766.

The spelling of 2979960192 in words is "two billion, nine hundred seventy-nine million, nine hundred sixty thousand, one hundred ninety-two".