2514474984 has 96 divisors (see below), whose sum is σ = 7366351680. Its totient is φ = 713131776.

The previous prime is 2514474967. The next prime is 2514474997. The reversal of 2514474984 is 4894744152.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153309 + ... + 168915.

It is an arithmetic number, because the mean of its divisors is an integer number (76732830).

Almost surely, 2^2514474984 is an apocalyptic number.

2514474984 is a gapful number since it is divisible by the number (24) 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 2514474984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683175840).

2514474984 is an abundant number, since it is smaller than the sum of its proper divisors (4851876696).

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

2514474984 is a wasteful number, since it uses less digits than its factorization.

2514474984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15767 (or 15756 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 2514474984 is about 50144.5409192267. The cubic root of 2514474984 is about 1359.8231791454.

It can be divided in two parts, 25144 and 74984, that added together give a triangular number (100128 = T₄₄₇).

The spelling of 2514474984 in words is "two billion, five hundred fourteen million, four hundred seventy-four thousand, nine hundred eighty-four".