2274929280 has 768 divisors, whose sum is σ = 9407664000. Its totient is φ = 517570560.

The previous prime is 2274929269. The next prime is 2274929291. The reversal of 2274929280 is 829294722.

2274929280 = 2911² + 2912² + ... + 3157².

It is an interprime number because it is at equal distance from previous prime (2274929269) and next prime (2274929291).

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

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, 55486060 + ... + 55486100.

Almost surely, 2^2274929280 is an apocalyptic number.

2274929280 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 2274929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703832000).

2274929280 is an abundant number, since it is smaller than the sum of its proper divisors (7132734720).

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

2274929280 is a wasteful number, since it uses less digits than its factorization.

2274929280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2274929280 is about 47696.2187180493. The cubic root of 2274929280 is about 1315.1924289617.

The spelling of 2274929280 in words is "two billion, two hundred seventy-four million, nine hundred twenty-nine thousand, two hundred eighty".