2540194957440 has 512 divisors, whose sum is σ = 10286229657600. Its totient is φ = 580362596352.

The previous prime is 2540194957367. The next prime is 2540194957511. The reversal of 2540194957440 is 447594910452.

2540194957440 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 194 + 9 + 5 + 7 + 440 = 666.

It is a super-2 number, since 2×2540194957440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 547099759 + ... + 547104401.

It is an arithmetic number, because the mean of its divisors is an integer number (20090292300).

Almost surely, 2^{2540194957440} is an apocalyptic number.

2540194957440 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 2540194957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143114828800).

2540194957440 is an abundant number, since it is smaller than the sum of its proper divisors (7746034700160).

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

2540194957440 is a wasteful number, since it uses less digits than its factorization.

2540194957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9201 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2540194957440 in words is "two trillion, five hundred forty billion, one hundred ninety-four million, nine hundred fifty-seven thousand, four hundred forty".