2796192000 has 864 divisors, whose sum is σ = 12269886720. Its totient is φ = 597196800.

The previous prime is 2796191963. The next prime is 2796192001. The reversal of 2796192000 is 2916972.

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

It is not an unprimeable number, because it can be changed into a prime (2796192001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38303964 + ... + 38304036.

It is a vampire number, since it can be written as 29127 ⋅ 96000 (with its own digits).

Almost surely, 2^2796192000 is an apocalyptic number.

2796192000 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 2796192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134943360).

2796192000 is an abundant number, since it is smaller than the sum of its proper divisors (9473694720).

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

2796192000 is a wasteful number, since it uses less digits than its factorization.

2796192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2796192000 is about 52879.0317611811. The cubic root of 2796192000 is about 1408.8205014492.

The spelling of 2796192000 in words is "two billion, seven hundred ninety-six million, one hundred ninety-two thousand".