2278352400 has 120 divisors (see below), whose sum is σ = 7615732800. Its totient is φ = 581137920.

The previous prime is 2278352399. The next prime is 2278352413. The reversal of 2278352400 is 42538722.

It is a tau number, because it is divible by the number of its divisors (120).

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, 13675 + ... + 68874.

It is an arithmetic number, because the mean of its divisors is an integer number (63464440).

Almost surely, 2^2278352400 is an apocalyptic number.

2278352400 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 2278352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807866400).

2278352400 is an abundant number, since it is smaller than the sum of its proper divisors (5337380400).

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

2278352400 is a wasteful number, since it uses less digits than its factorization.

2278352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82593 (or 82582 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2278352400 is about 47732.0898348271. The cubic root of 2278352400 is about 1315.8517615875.

The spelling of 2278352400 in words is "two billion, two hundred seventy-eight million, three hundred fifty-two thousand, four hundred".