2714120460 has 288 divisors, whose sum is σ = 8945681472. Its totient is φ = 690094080.

The previous prime is 2714120449. The next prime is 2714120471. The reversal of 2714120460 is 640214172.

It is an interprime number because it is at equal distance from previous prime (2714120449) and next prime (2714120471).

It is a super-2 number, since 2×2714120460² = 14732899742781223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10560652 + ... + 10560908.

It is an arithmetic number, because the mean of its divisors is an integer number (31061394).

Almost surely, 2^2714120460 is an apocalyptic number.

2714120460 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 2714120460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472840736).

2714120460 is an abundant number, since it is smaller than the sum of its proper divisors (6231561012).

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

2714120460 is a wasteful number, since it uses less digits than its factorization.

2714120460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2714120460 is about 52097.2212310791. The cubic root of 2714120460 is about 1394.8998887575.

The spelling of 2714120460 in words is "two billion, seven hundred fourteen million, one hundred twenty thousand, four hundred sixty".