2892672000 has 616 divisors, whose sum is σ = 11168956032. Its totient is φ = 746496000.

The previous prime is 2892671983. The next prime is 2892672007. The reversal of 2892672000 is 2762982.

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 (2892672007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 93311985 + ... + 93312015.

Almost surely, 2^2892672000 is an apocalyptic number.

2892672000 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 2892672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5584478016).

2892672000 is an abundant number, since it is smaller than the sum of its proper divisors (8276284032).

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

2892672000 is an frugal number, since it uses more digits than its factorization.

2892672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2892672000 is about 53783.5662633113. The cubic root of 2892672000 is about 1424.8409794849.

The spelling of 2892672000 in words is "two billion, eight hundred ninety-two million, six hundred seventy-two thousand".