2265409536 has 192 divisors, whose sum is σ = 6587904960. Its totient is φ = 688128000.

The previous prime is 2265409519. The next prime is 2265409571. The reversal of 2265409536 is 6359045622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9025411 + ... + 9025661.

It is an arithmetic number, because the mean of its divisors is an integer number (34312005).

Almost surely, 2^2265409536 is an apocalyptic number.

2265409536 is a gapful number since it is divisible by the number (26) 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 2265409536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293952480).

2265409536 is an abundant number, since it is smaller than the sum of its proper divisors (4322495424).

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

2265409536 is a wasteful number, since it uses less digits than its factorization.

2265409536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 2265409536 is about 47596.3185130951. The cubic root of 2265409536 is about 1313.3553315276.

The spelling of 2265409536 in words is "two billion, two hundred sixty-five million, four hundred nine thousand, five hundred thirty-six".