2540416974480 has 480 divisors, whose sum is σ = 10640361259008. Its totient is φ = 527700096000.

The previous prime is 2540416974451. The next prime is 2540416974481. The reversal of 2540416974480 is 844796140452.

2540416974480 is a `hidden beast` number, since 2 + 5 + 404 + 169 + 74 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×2540416974480² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2540416974481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219924705 + ... + 219936255.

Almost surely, 2^{2540416974480} is an apocalyptic number.

2540416974480 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 2540416974480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320180629504).

2540416974480 is an abundant number, since it is smaller than the sum of its proper divisors (8099944284528).

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

2540416974480 is a wasteful number, since it uses less digits than its factorization.

2540416974480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15555 (or 15546 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2540416974480 in words is "two trillion, five hundred forty billion, four hundred sixteen million, nine hundred seventy-four thousand, four hundred eighty".