2506745472 has 256 divisors, whose sum is σ = 8791649280. Its totient is φ = 612679680.

The previous prime is 2506745447. The next prime is 2506745473. The reversal of 2506745472 is 2745476052.

It is a super-2 number, since 2×2506745472² = 12567545722785005568, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2506745473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500163 + ... + 505149.

It is an arithmetic number, because the mean of its divisors is an integer number (34342380).

Almost surely, 2^2506745472 is an apocalyptic number.

2506745472 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 2506745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395824640).

2506745472 is an abundant number, since it is smaller than the sum of its proper divisors (6284903808).

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

2506745472 is a wasteful number, since it uses less digits than its factorization.

2506745472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5039 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The square root of 2506745472 is about 50067.4092798898. The cubic root of 2506745472 is about 1358.4283806107.

The spelling of 2506745472 in words is "two billion, five hundred six million, seven hundred forty-five thousand, four hundred seventy-two".