2248372800 has 252 divisors, whose sum is σ = 8042582340. Its totient is φ = 595722240.

The previous prime is 2248372759. The next prime is 2248372811. The reversal of 2248372800 is 82738422.

It can be written as a sum of positive squares in 6 ways, for example, as 8433216 + 2239939584 = 2904^2 + 47328^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2778796 + ... + 2779604.

Almost surely, 2^2248372800 is an apocalyptic number.

2248372800 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 2248372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021291170).

2248372800 is an abundant number, since it is smaller than the sum of its proper divisors (5794209540).

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

2248372800 is a wasteful number, since it uses less digits than its factorization.

2248372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2248372800 is about 47417.0096062584. The cubic root of 2248372800 is about 1310.0547342280.

The spelling of 2248372800 in words is "two billion, two hundred forty-eight million, three hundred seventy-two thousand, eight hundred".