2514282966 has 72 divisors (see below), whose sum is σ = 6246016920. Its totient is φ = 728103168.

The previous prime is 2514282917. The next prime is 2514283003. The reversal of 2514282966 is 6692824152.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27405 + ... + 76023.

It is an arithmetic number, because the mean of its divisors is an integer number (86750235).

Almost surely, 2^2514282966 is an apocalyptic number.

2514282966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2514282966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123008460).

2514282966 is an abundant number, since it is smaller than the sum of its proper divisors (3731733954).

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

2514282966 is a wasteful number, since it uses less digits than its factorization.

2514282966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48670 (or 48654 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2514282966 is about 50142.6262375636. The cubic root of 2514282966 is about 1359.7885639440.

The spelling of 2514282966 in words is "two billion, five hundred fourteen million, two hundred eighty-two thousand, nine hundred sixty-six".