2245456752 has 240 divisors, whose sum is σ = 7412918400. Its totient is φ = 579156480.

The previous prime is 2245456723. The next prime is 2245456771. The reversal of 2245456752 is 2576545422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5924499 + ... + 5924877.

It is an arithmetic number, because the mean of its divisors is an integer number (30887160).

Almost surely, 2^2245456752 is an apocalyptic number.

2245456752 is a gapful number since it is divisible by the number (22) 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 2245456752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706459200).

2245456752 is an abundant number, since it is smaller than the sum of its proper divisors (5167461648).

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

2245456752 is a wasteful number, since it uses less digits than its factorization.

2245456752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 631 counting only the distinct ones).

The product of its digits is 672000, while the sum is 42.

The square root of 2245456752 is about 47386.2506640903. The cubic root of 2245456752 is about 1309.4881266472.

The spelling of 2245456752 in words is "two billion, two hundred forty-five million, four hundred fifty-six thousand, seven hundred fifty-two".