2934792000 has 560 divisors, whose sum is σ = 12427354368. Its totient is φ = 669772800.

The previous prime is 2934791989. The next prime is 2934792031. The reversal of 2934792000 is 2974392.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×2934792000² = 17226008166528000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4535677 + ... + 4536323.

Almost surely, 2^2934792000 is an apocalyptic number.

2934792000 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 2934792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213677184).

2934792000 is an abundant number, since it is smaller than the sum of its proper divisors (9492562368).

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

2934792000 is an equidigital number, since it uses as much as digits as its factorization.

2934792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2934792000 is about 54173.7205663410. The cubic root of 2934792000 is about 1431.7233530270.

The spelling of 2934792000 in words is "two billion, nine hundred thirty-four million, seven hundred ninety-two thousand".