2561490742500 has 300 divisors, whose sum is σ = 8403692317020. Its totient is φ = 680132592000.

The previous prime is 2561490742469. The next prime is 2561490742553. The reversal of 2561490742500 is 52470941652.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2561490742500 is a `hidden beast` number, since 2 + 5 + 6 + 14 + 90 + 7 + 42 + 500 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2230046435556 + 331444306944 = 1493334^2 + 575712^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×2561490742500² (a number of 26 digits) contains 22 as substring.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 17475 × 10485 × 13980.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 10993522384 + ... + 10993522616.

Almost surely, 2^{2561490742500} is an apocalyptic number.

2561490742500 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 2561490742500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201846158510).

2561490742500 is an abundant number, since it is smaller than the sum of its proper divisors (5842201574520).

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

2561490742500 is an frugal number, since it uses more digits than its factorization.

2561490742500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2561490742500 in words is "two trillion, five hundred sixty-one billion, four hundred ninety million, seven hundred forty-two thousand, five hundred".