2505724672 has 144 divisors (see below), whose sum is σ = 5647719168. Its totient is φ = 1099837440.

The previous prime is 2505724667. The next prime is 2505724691. The reversal of 2505724672 is 2764275052.

It is a super-2 number, since 2×2505724672² = 12557312263739015168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15372463 + ... + 15372625.

It is an arithmetic number, because the mean of its divisors is an integer number (39220272).

Almost surely, 2^2505724672 is an apocalyptic number.

2505724672 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 2505724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823859584).

2505724672 is an abundant number, since it is smaller than the sum of its proper divisors (3141994496).

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

2505724672 is a wasteful number, since it uses less digits than its factorization.

2505724672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The square root of 2505724672 is about 50057.2139855985. The cubic root of 2505724672 is about 1358.2439619454.

It can be divided in two parts, 25057 and 24672, that added together give a square (49729 = 223²).

The spelling of 2505724672 in words is "two billion, five hundred five million, seven hundred twenty-four thousand, six hundred seventy-two".