2501480305800 has 576 divisors, whose sum is σ = 10341302400000. Its totient is φ = 529074685440.

The previous prime is 2501480305787. The next prime is 2501480305813. The reversal of 2501480305800 is 85030841052.

It is a happy number.

2501480305800 is a `hidden beast` number, since 2 + 5 + 0 + 1 + 48 + 0 + 30 + 580 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2501480305787) and next prime (2501480305813).

It is a super-3 number, since 3×2501480305800³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10172701 + ... + 10415699.

It is an arithmetic number, because the mean of its divisors is an integer number (17953650000).

Almost surely, 2^{2501480305800} is an apocalyptic number.

2501480305800 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 2501480305800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170651200000).

2501480305800 is an abundant number, since it is smaller than the sum of its proper divisors (7839822094200).

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

2501480305800 is a wasteful number, since it uses less digits than its factorization.

2501480305800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243090 (or 243078 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 2501480305800 in words is "two trillion, five hundred one billion, four hundred eighty million, three hundred five thousand, eight hundred".