2872496000 has 256 divisors, whose sum is σ = 8210592000. Its totient is φ = 988416000.

The previous prime is 2872495973. The next prime is 2872496009. The reversal of 2872496000 is 6942782.

2872496000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872496009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3343571 + ... + 3344429.

It is an arithmetic number, because the mean of its divisors is an integer number (32072625).

Almost surely, 2^2872496000 is an apocalyptic number.

2872496000 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 2872496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105296000).

2872496000 is an abundant number, since it is smaller than the sum of its proper divisors (5338096000).

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

2872496000 is a wasteful number, since it uses less digits than its factorization.

2872496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 2872496000 is about 53595.6714670131. The cubic root of 2872496000 is about 1421.5205559379.

The spelling of 2872496000 in words is "two billion, eight hundred seventy-two million, four hundred ninety-six thousand".