2276362440 has 320 divisors, whose sum is σ = 8712696960. Its totient is φ = 527662080.

The previous prime is 2276362411. The next prime is 2276362447. The reversal of 2276362440 is 442636722.

2276362440 is a `hidden beast` number, since 2 + 27 + 6 + 3 + 624 + 4 + 0 = 666.

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 = 2276362395 and 2276362404.

It is not an unprimeable number, because it can be changed into a prime (2276362447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 818332 + ... + 821108.

It is an arithmetic number, because the mean of its divisors is an integer number (27227178).

Almost surely, 2^2276362440 is an apocalyptic number.

2276362440 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 2276362440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356348480).

2276362440 is an abundant number, since it is smaller than the sum of its proper divisors (6436334520).

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

2276362440 is a wasteful number, since it uses less digits than its factorization.

2276362440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2276362440 is about 47711.2401850968. The cubic root of 2276362440 is about 1315.4685526379.

The spelling of 2276362440 in words is "two billion, two hundred seventy-six million, three hundred sixty-two thousand, four hundred forty".