2506632480 has 288 divisors, whose sum is σ = 9678771648. Its totient is φ = 607564800.

The previous prime is 2506632433. The next prime is 2506632481. The reversal of 2506632480 is 842366052.

2506632480 is a `hidden beast` number, since 250 + 6 + 6 + 324 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506632481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424750 + ... + 430610.

It is an arithmetic number, because the mean of its divisors is an integer number (33606846).

Almost surely, 2^2506632480 is an apocalyptic number.

2506632480 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 2506632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839385824).

2506632480 is an abundant number, since it is smaller than the sum of its proper divisors (7172139168).

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

2506632480 is a wasteful number, since it uses less digits than its factorization.

2506632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5882 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2506632480 is about 50066.2808684648. The cubic root of 2506632480 is about 1358.4079698367.

The spelling of 2506632480 in words is "two billion, five hundred six million, six hundred thirty-two thousand, four hundred eighty".