2265375840 has 576 divisors, whose sum is σ = 9266503680. Its totient is φ = 460615680.

The previous prime is 2265375821. The next prime is 2265375857. The reversal of 2265375840 is 485735622.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2265375792 and 2265375801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9478441 + ... + 9478679.

It is an arithmetic number, because the mean of its divisors is an integer number (16087680).

Almost surely, 2^2265375840 is an apocalyptic number.

2265375840 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 2265375840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633251840).

2265375840 is an abundant number, since it is smaller than the sum of its proper divisors (7001127840).

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

2265375840 is a wasteful number, since it uses less digits than its factorization.

2265375840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 2265375840 is about 47595.9645348216. The cubic root of 2265375840 is about 1313.3488198219.

The spelling of 2265375840 in words is "two billion, two hundred sixty-five million, three hundred seventy-five thousand, eight hundred forty".