2506113146880 has 1680 divisors, whose sum is σ = 10798853139360. Its totient is φ = 544006471680.

The previous prime is 2506113146837. The next prime is 2506113146923. The reversal of 2506113146880 is 886413116052.

2506113146880 is a `hidden beast` number, since 2 + 50 + 6 + 1 + 131 + 468 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2506113146837) and next prime (2506113146923).

It is a tau number, because it is divible by the number of its divisors (1680).

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 119 ways as a sum of consecutive naturals, for example, 41083822050 + ... + 41083822110.

Almost surely, 2^{2506113146880} is an apocalyptic number.

2506113146880 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 2506113146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399426569680).

2506113146880 is an abundant number, since it is smaller than the sum of its proper divisors (8292739992480).

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

2506113146880 is an frugal number, since it uses more digits than its factorization.

2506113146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2506113146880 in words is "two trillion, five hundred six billion, one hundred thirteen million, one hundred forty-six thousand, eight hundred eighty".