2506412480 has 112 divisors (see below), whose sum is σ = 7011948384. Its totient is φ = 841297920.

The previous prime is 2506412479. The next prime is 2506412483. The reversal of 2506412480 is 842146052.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506412483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18374 + ... + 73146.

It is an arithmetic number, because the mean of its divisors is an integer number (62606682).

Almost surely, 2^2506412480 is an apocalyptic number.

2506412480 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 2506412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505974192).

2506412480 is an abundant number, since it is smaller than the sum of its proper divisors (4505535904).

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

2506412480 is a wasteful number, since it uses less digits than its factorization.

2506412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54814 (or 54804 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 2506412480 is about 50064.0837327520. The cubic root of 2506412480 is about 1358.3682274733.

The spelling of 2506412480 in words is "two billion, five hundred six million, four hundred twelve thousand, four hundred eighty".