2254072800 has 144 divisors (see below), whose sum is σ = 8385213312. Its totient is φ = 515212800.

The previous prime is 2254072783. The next prime is 2254072861. The reversal of 2254072800 is 82704522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50286 + ... + 83885.

It is an arithmetic number, because the mean of its divisors is an integer number (58230648).

Almost surely, 2^2254072800 is an apocalyptic number.

2254072800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254072800 is an abundant number, since it is smaller than the sum of its proper divisors (6131140512).

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

2254072800 is a wasteful number, since it uses less digits than its factorization.

2254072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134201 (or 134188 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2254072800 is about 47477.0765738583. The cubic root of 2254072800 is about 1311.1608690831.

The spelling of 2254072800 in words is "two billion, two hundred fifty-four million, seventy-two thousand, eight hundred".