2516549243040 has 1536 divisors, whose sum is σ = 11415217766400. Its totient is φ = 504347627520.

The previous prime is 2516549243029. The next prime is 2516549243041. The reversal of 2516549243040 is 403429456152.

2516549243040 is a `hidden beast` number, since 2 + 5 + 16 + 549 + 24 + 30 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2516549243041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 409658209 + ... + 409664351.

It is an arithmetic number, because the mean of its divisors is an integer number (7431782400).

Almost surely, 2^{2516549243040} is an apocalyptic number.

2516549243040 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 2516549243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707608883200).

2516549243040 is an abundant number, since it is smaller than the sum of its proper divisors (8898668523360).

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

2516549243040 is a wasteful number, since it uses less digits than its factorization.

2516549243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6233 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2516549243040 in words is "two trillion, five hundred sixteen billion, five hundred forty-nine million, two hundred forty-three thousand, forty".