2540090741760 has 1232 divisors, whose sum is σ = 10735085047680. Its totient is φ = 568292474880.

The previous prime is 2540090741753. The next prime is 2540090741791. The reversal of 2540090741760 is 671470900452.

2540090741760 is a `hidden beast` number, since 2 + 5 + 400 + 9 + 0 + 74 + 176 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 533742261 + ... + 533747019.

Almost surely, 2^{2540090741760} is an apocalyptic number.

2540090741760 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 2540090741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367542523840).

2540090741760 is an abundant number, since it is smaller than the sum of its proper divisors (8194994305920).

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

2540090741760 is a wasteful number, since it uses less digits than its factorization.

2540090741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4826 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2540090741760 in words is "two trillion, five hundred forty billion, ninety million, seven hundred forty-one thousand, seven hundred sixty".