2245619520 has 168 divisors, whose sum is σ = 7811673480. Its totient is φ = 592035840.

The previous prime is 2245619479. The next prime is 2245619543. The reversal of 2245619520 is 259165422.

2245619520 is a `hidden beast` number, since 2 + 2 + 4 + 561 + 95 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19289664 + 2226329856 = 4392^2 + 47184^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251940 + ... + 260700.

Almost surely, 2^2245619520 is an apocalyptic number.

2245619520 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 2245619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905836740).

2245619520 is an abundant number, since it is smaller than the sum of its proper divisors (5566053960).

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

2245619520 is a wasteful number, since it uses less digits than its factorization.

2245619520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873 (or 8860 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2245619520 is about 47387.9680931774. The cubic root of 2245619520 is about 1309.5197664778.

The spelling of 2245619520 in words is "two billion, two hundred forty-five million, six hundred nineteen thousand, five hundred twenty".