2258774952 has 192 divisors, whose sum is σ = 6825772800. Its totient is φ = 620605440.

The previous prime is 2258774923. The next prime is 2258774963. The reversal of 2258774952 is 2594778522.

It is a junction number, because it is equal to n+sod(n) for n = 2258774895 and 2258774904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3808768 + ... + 3809360.

It is an arithmetic number, because the mean of its divisors is an integer number (35550900).

Almost surely, 2^2258774952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258774952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412886400).

2258774952 is an abundant number, since it is smaller than the sum of its proper divisors (4566997848).

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

2258774952 is a wasteful number, since it uses less digits than its factorization.

2258774952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 725 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 51.

The square root of 2258774952 is about 47526.5710103306. The cubic root of 2258774952 is about 1312.0719599759.

The spelling of 2258774952 in words is "two billion, two hundred fifty-eight million, seven hundred seventy-four thousand, nine hundred fifty-two".