2501027020800 has 2700 divisors, whose sum is σ = 11769767467920. Its totient is φ = 513854668800.

The previous prime is 2501027020781. The next prime is 2501027020801. The reversal of 2501027020800 is 80207201052.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501027020801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 28101427156 + ... + 28101427244.

Almost surely, 2^{2501027020800} is an apocalyptic number.

2501027020800 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 2501027020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5884883733960).

2501027020800 is an abundant number, since it is smaller than the sum of its proper divisors (9268740447120).

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

2501027020800 is an equidigital number, since it uses as much as digits as its factorization.

2501027020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 2501027020800 in words is "two trillion, five hundred one billion, twenty-seven million, twenty thousand, eight hundred".