2275640400 has 240 divisors, whose sum is σ = 8420943168. Its totient is φ = 519168000.

The previous prime is 2275640399. The next prime is 2275640429. The reversal of 2275640400 is 40465722.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2275640400² = 10357078460224320000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 219330 + ... + 229470.

Almost surely, 2^2275640400 is an apocalyptic number.

2275640400 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 2275640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210471584).

2275640400 is an abundant number, since it is smaller than the sum of its proper divisors (6145302768).

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

2275640400 is a wasteful number, since it uses less digits than its factorization.

2275640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10190 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2275640400 is about 47703.6728145748. The cubic root of 2275640400 is about 1315.3294533246.

The spelling of 2275640400 in words is "two billion, two hundred seventy-five million, six hundred forty thousand, four hundred".