2516463378 has 288 divisors, whose sum is σ = 6915557376. Its totient is φ = 655776000.

The previous prime is 2516463377. The next prime is 2516463413. The reversal of 2516463378 is 8733646152.

2516463378 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 4 + 633 + 7 + 8 = 666.

Its product of digits (725760) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516463377) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41253468 + ... + 41253528.

It is an arithmetic number, because the mean of its divisors is an integer number (24012352).

Almost surely, 2^2516463378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516463378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457778688).

2516463378 is an abundant number, since it is smaller than the sum of its proper divisors (4399093998).

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

2516463378 is a wasteful number, since it uses less digits than its factorization.

2516463378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2516463378 is about 50164.3636259845. The cubic root of 2516463378 is about 1360.1815245735.

The spelling of 2516463378 in words is "two billion, five hundred sixteen million, four hundred sixty-three thousand, three hundred seventy-eight".