2514484960 has 288 divisors, whose sum is σ = 7018462080. Its totient is φ = 845611008.

The previous prime is 2514484957. The next prime is 2514484963. The reversal of 2514484960 is 694844152.

It is an interprime number because it is at equal distance from previous prime (2514484957) and next prime (2514484963).

It is a super-2 number, since 2×2514484960² = 12645269228132403200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2514484963) 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, 28252596 + ... + 28252684.

It is an arithmetic number, because the mean of its divisors is an integer number (24369660).

Almost surely, 2^2514484960 is an apocalyptic number.

2514484960 is a gapful number since it is divisible by the number (20) 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 2514484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509231040).

2514484960 is an abundant number, since it is smaller than the sum of its proper divisors (4503977120).

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

2514484960 is a wasteful number, since it uses less digits than its factorization.

2514484960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The square root of 2514484960 is about 50144.6403915713. The cubic root of 2514484960 is about 1359.8249774768.

The spelling of 2514484960 in words is "two billion, five hundred fourteen million, four hundred eighty-four thousand, nine hundred sixty".