2275903440 has 320 divisors, whose sum is σ = 8299468800. Its totient is φ = 572313600.

The previous prime is 2275903417. The next prime is 2275903451. The reversal of 2275903440 is 443095722.

2275903440 is a `hidden beast` number, since 2 + 27 + 590 + 3 + 4 + 40 = 666.

2275903440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2275903395 and 2275903404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2744946 + ... + 2745774.

It is an arithmetic number, because the mean of its divisors is an integer number (25935840).

Almost surely, 2^2275903440 is an apocalyptic number.

2275903440 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 2275903440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149734400).

2275903440 is an abundant number, since it is smaller than the sum of its proper divisors (6023565360).

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

2275903440 is a wasteful number, since it uses less digits than its factorization.

2275903440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2275903440 is about 47706.4297553275. The cubic root of 2275903440 is about 1315.3801307705.

The spelling of 2275903440 in words is "two billion, two hundred seventy-five million, nine hundred three thousand, four hundred forty".