2247450624 has 168 divisors, whose sum is σ = 6738655560. Its totient is φ = 748486656.

The previous prime is 2247450619. The next prime is 2247450631. The reversal of 2247450624 is 4260547422.

2247450624 is a `hidden beast` number, since 2 + 24 + 7 + 4 + 5 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990092 + ... + 1991220.

It is an arithmetic number, because the mean of its divisors is an integer number (40111045).

Almost surely, 2^2247450624 is an apocalyptic number.

2247450624 is a gapful number since it is divisible by the number (24) 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 2247450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369327780).

2247450624 is an abundant number, since it is smaller than the sum of its proper divisors (4491204936).

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

2247450624 is an frugal number, since it uses more digits than its factorization.

2247450624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2247450624 is about 47407.2845035444. The cubic root of 2247450624 is about 1309.8756022738.

The spelling of 2247450624 in words is "two billion, two hundred forty-seven million, four hundred fifty thousand, six hundred twenty-four".