2265517400 has 96 divisors (see below), whose sum is σ = 5502438000. Its totient is φ = 866603520.

The previous prime is 2265517357. The next prime is 2265517403. The reversal of 2265517400 is 47155622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265517403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434006 + ... + 439194.

Almost surely, 2^2265517400 is an apocalyptic number.

2265517400 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 2265517400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751219000).

2265517400 is an abundant number, since it is smaller than the sum of its proper divisors (3236920600).

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

2265517400 is a wasteful number, since it uses less digits than its factorization.

2265517400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5301 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 2265517400 is about 47597.4516124551. The cubic root of 2265517400 is about 1313.3761756633.

The spelling of 2265517400 in words is "two billion, two hundred sixty-five million, five hundred seventeen thousand, four hundred".