2396872800 has 432 divisors, whose sum is σ = 10171848960. Its totient is φ = 518814720.

The previous prime is 2396872759. The next prime is 2396872801. The reversal of 2396872800 is 82786932.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2396872801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 956349 + ... + 958851.

Almost surely, 2^2396872800 is an apocalyptic number.

2396872800 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 2396872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085924480).

2396872800 is an abundant number, since it is smaller than the sum of its proper divisors (7774976160).

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

2396872800 is a wasteful number, since it uses less digits than its factorization.

2396872800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2396872800 is about 48957.8676006217. The cubic root of 2396872800 is about 1338.2841333211.

The spelling of 2396872800 in words is "two billion, three hundred ninety-six million, eight hundred seventy-two thousand, eight hundred".