2249222976 has 672 divisors, whose sum is σ = 8946782208. Its totient is φ = 521441280.

The previous prime is 2249222951. The next prime is 2249222981. The reversal of 2249222976 is 6792229422.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

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, 27099031 + ... + 27099113.

It is an arithmetic number, because the mean of its divisors is an integer number (13313664).

Almost surely, 2^2249222976 is an apocalyptic number.

2249222976 is a gapful number since it is divisible by the number (26) 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 2249222976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473391104).

2249222976 is an abundant number, since it is smaller than the sum of its proper divisors (6697559232).

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

2249222976 is a wasteful number, since it uses less digits than its factorization.

2249222976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 166 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2249222976 is about 47425.9736431420. The cubic root of 2249222976 is about 1310.2198368509.

The spelling of 2249222976 in words is "two billion, two hundred forty-nine million, two hundred twenty-two thousand, nine hundred seventy-six".