2461320508416 has 528 divisors, whose sum is σ = 8340289594560. Its totient is φ = 638142382080.

The previous prime is 2461320508373. The next prime is 2461320508433. The reversal of 2461320508416 is 6148050231642.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273315386 + ... + 1273317318.

It is an arithmetic number, because the mean of its divisors is an integer number (15796003020).

Almost surely, 2^{2461320508416} 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 2461320508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170144797280).

2461320508416 is an abundant number, since it is smaller than the sum of its proper divisors (5878969086144).

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

2461320508416 is a wasteful number, since it uses less digits than its factorization.

2461320508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 2461320508416 in words is "two trillion, four hundred sixty-one billion, three hundred twenty million, five hundred eight thousand, four hundred sixteen".