2276904960 has 312 divisors, whose sum is σ = 8617456224. Its totient is φ = 551485440.

The previous prime is 2276904923. The next prime is 2276905003. The reversal of 2276904960 is 694096722.

2276904960 is a `hidden beast` number, since 2 + 2 + 76 + 90 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026959 + ... + 2028081.

It is an arithmetic number, because the mean of its divisors is an integer number (27620052).

Almost surely, 2^2276904960 is an apocalyptic number.

2276904960 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 2276904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308728112).

2276904960 is an abundant number, since it is smaller than the sum of its proper divisors (6340551264).

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

2276904960 is a wasteful number, since it uses less digits than its factorization.

2276904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2276904960 is about 47716.9252991012. The cubic root of 2276904960 is about 1315.5730484918.

The spelling of 2276904960 in words is "two billion, two hundred seventy-six million, nine hundred four thousand, nine hundred sixty".