2274151600 has 120 divisors (see below), whose sum is σ = 6263567360. Its totient is φ = 777288960.

The previous prime is 2274151577. The next prime is 2274151631. The reversal of 2274151600 is 61514722.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1060129 + ... + 1062271.

Almost surely, 2^2274151600 is an apocalyptic number.

2274151600 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 2274151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131783680).

2274151600 is an abundant number, since it is smaller than the sum of its proper divisors (3989415760).

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

2274151600 is a wasteful number, since it uses less digits than its factorization.

2274151600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2274151600 is about 47688.0655929762. The cubic root of 2274151600 is about 1315.0425465856.

The spelling of 2274151600 in words is "two billion, two hundred seventy-four million, one hundred fifty-one thousand, six hundred".