2516278140468 has 192 divisors, whose sum is σ = 6998103302400. Its totient is φ = 788811499008.

The previous prime is 2516278140461. The next prime is 2516278140521. The reversal of 2516278140468 is 8640418726152.

2516278140468 is a `hidden beast` number, since 2 + 5 + 1 + 62 + 7 + 81 + 40 + 468 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516278140461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216970846 + ... + 216982442.

It is an arithmetic number, because the mean of its divisors is an integer number (36448454700).

Almost surely, 2^{2516278140468} 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 2516278140468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499051651200).

2516278140468 is an abundant number, since it is smaller than the sum of its proper divisors (4481825161932).

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

2516278140468 is a wasteful number, since it uses less digits than its factorization.

2516278140468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13098 (or 13078 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2516278140468 in words is "two trillion, five hundred sixteen billion, two hundred seventy-eight million, one hundred forty thousand, four hundred sixty-eight".