2620519140096 has 576 divisors, whose sum is σ = 9179774714880. Its totient is φ = 732978892800.

The previous prime is 2620519140061. The next prime is 2620519140131. The reversal of 2620519140096 is 6900419150262.

2620519140096 is a `hidden beast` number, since 2 + 6 + 2 + 0 + 519 + 1 + 40 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (2620519140061) and next prime (2620519140131).

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119587381 + ... + 119609291.

It is an arithmetic number, because the mean of its divisors is an integer number (15937108880).

Almost surely, 2^{2620519140096} is an apocalyptic number.

2620519140096 is a gapful number since it is divisible by the number (26) 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 2620519140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589887357440).

2620519140096 is an abundant number, since it is smaller than the sum of its proper divisors (6559255574784).

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

2620519140096 is a wasteful number, since it uses less digits than its factorization.

2620519140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21982 (or 21940 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2620519140096 in words is "two trillion, six hundred twenty billion, five hundred nineteen million, one hundred forty thousand, ninety-six".