2280416400 has 90 divisors (see below), whose sum is σ = 7913690850. Its totient is φ = 608110080.

The previous prime is 2280416399. The next prime is 2280416401. The reversal of 2280416400 is 46140822.

It is an interprime number because it is at equal distance from previous prime (2280416399) and next prime (2280416401).

It can be written as a sum of positive squares in 3 ways, for example, as 158155776 + 2122260624 = 12576^2 + 46068^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (2280416401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 313125 + ... + 320324.

Almost surely, 2^2280416400 is an apocalyptic number.

2280416400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2280416400 is an abundant number, since it is smaller than the sum of its proper divisors (5633274450).

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

2280416400 is a wasteful number, since it uses less digits than its factorization.

2280416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633473 (or 633459 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2280416400 is about 47753.7056153761. The cubic root of 2280416400 is about 1316.2489928375.

It can be divided in two parts, 22804 and 16400, that added together give a square (39204 = 198²).

The spelling of 2280416400 in words is "two billion, two hundred eighty million, four hundred sixteen thousand, four hundred".