2505937224 has 192 divisors, whose sum is σ = 7773796800. Its totient is φ = 668860416.

The previous prime is 2505937219. The next prime is 2505937237. The reversal of 2505937224 is 4227395052.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3258312 + ... + 3259080.

It is an arithmetic number, because the mean of its divisors is an integer number (40488525).

Almost surely, 2^2505937224 is an apocalyptic number.

2505937224 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 2505937224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886898400).

2505937224 is an abundant number, since it is smaller than the sum of its proper divisors (5267859576).

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

2505937224 is a wasteful number, since it uses less digits than its factorization.

2505937224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 2505937224 is about 50059.3370311673. The cubic root of 2505937224 is about 1358.2823659131.

The spelling of 2505937224 in words is "two billion, five hundred five million, nine hundred thirty-seven thousand, two hundred twenty-four".