2514012816 has 240 divisors, whose sum is σ = 8045645760. Its totient is φ = 672537600.

The previous prime is 2514012811. The next prime is 2514012817. The reversal of 2514012816 is 6182104152.

It is not an unprimeable number, because it can be changed into a prime (2514012811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4513210 + ... + 4513766.

It is an arithmetic number, because the mean of its divisors is an integer number (33523524).

Almost surely, 2^2514012816 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 2514012816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022822880).

2514012816 is an abundant number, since it is smaller than the sum of its proper divisors (5531632944).

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

2514012816 is a wasteful number, since it uses less digits than its factorization.

2514012816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 2514012816 is about 50139.9323493760. The cubic root of 2514012816 is about 1359.7398608554.

Adding to 2514012816 its reverse (6182104152), we get a palindrome (8696116968).

The spelling of 2514012816 in words is "two billion, five hundred fourteen million, twelve thousand, eight hundred sixteen".