2460801540816 has 280 divisors, whose sum is σ = 7340391434880. Its totient is φ = 798337036800.

The previous prime is 2460801540779. The next prime is 2460801540829. The reversal of 2460801540816 is 6180451080642.

It is a happy number.

2460801540816 is a `hidden beast` number, since 24 + 6 + 0 + 8 + 0 + 1 + 540 + 81 + 6 = 666.

2460801540816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 206108575 + ... + 206120513.

It is an arithmetic number, because the mean of its divisors is an integer number (26215683696).

Almost surely, 2^{2460801540816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2460801540816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3670195717440).

2460801540816 is an abundant number, since it is smaller than the sum of its proper divisors (4879589894064).

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

2460801540816 is a wasteful number, since it uses less digits than its factorization.

2460801540816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12437 (or 12416 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 2460801540816 in words is "two trillion, four hundred sixty billion, eight hundred one million, five hundred forty thousand, eight hundred sixteen".