2277874368 has 756 divisors, whose sum is σ = 9011686320. Its totient is φ = 546416640.

The previous prime is 2277874367. The next prime is 2277874369. The reversal of 2277874368 is 8634787722.

2277874368 is a `hidden beast` number, since 2 + 277 + 8 + 7 + 4 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (2277874367) and next prime (2277874369).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2277874363) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 78547378 + ... + 78547406.

It is an arithmetic number, because the mean of its divisors is an integer number (11920220).

Almost surely, 2^2277874368 is an apocalyptic number.

2277874368 is a gapful number since it is divisible by the number (28) 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 2277874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505843160).

2277874368 is an abundant number, since it is smaller than the sum of its proper divisors (6733811952).

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

2277874368 is a wasteful number, since it uses less digits than its factorization.

2277874368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 2277874368 is about 47727.0821232558. The cubic root of 2277874368 is about 1315.7597267692.

The spelling of 2277874368 in words is "two billion, two hundred seventy-seven million, eight hundred seventy-four thousand, three hundred sixty-eight".