2506424480 has 192 divisors, whose sum is σ = 6985440000. Its totient is φ = 849429504.

The previous prime is 2506424467. The next prime is 2506424491. The reversal of 2506424480 is 844246052.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2506424480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5981711 + ... + 5982129.

It is an arithmetic number, because the mean of its divisors is an integer number (36382500).

Almost surely, 2^2506424480 is an apocalyptic number.

2506424480 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 2506424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492720000).

2506424480 is an abundant number, since it is smaller than the sum of its proper divisors (4479015520).

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

2506424480 is a wasteful number, since it uses less digits than its factorization.

2506424480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 2506424480 is about 50064.2035790044. The cubic root of 2506424480 is about 1358.3703952986.

The spelling of 2506424480 in words is "two billion, five hundred six million, four hundred twenty-four thousand, four hundred eighty".