2506476960 has 768 divisors, whose sum is σ = 10414656000. Its totient is φ = 564350976.

The previous prime is 2506476949. The next prime is 2506476971. The reversal of 2506476960 is 696746052.

It is an interprime number because it is at equal distance from previous prime (2506476949) and next prime (2506476971).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86430226 + ... + 86430254.

It is an arithmetic number, because the mean of its divisors is an integer number (13560750).

Almost surely, 2^2506476960 is an apocalyptic number.

2506476960 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 2506476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207328000).

2506476960 is an abundant number, since it is smaller than the sum of its proper divisors (7908179040).

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

2506476960 is a wasteful number, since it uses less digits than its factorization.

2506476960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2506476960 is about 50064.7277032443. The cubic root of 2506476960 is about 1358.3798758397.

The spelling of 2506476960 in words is "two billion, five hundred six million, four hundred seventy-six thousand, nine hundred sixty".