2514567680 has 80 divisors (see below), whose sum is σ = 6157641600. Its totient is φ = 984379392.

The previous prime is 2514567637. The next prime is 2514567683. The reversal of 2514567680 is 867654152.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2514567683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109871 + ... + 130769.

It is an arithmetic number, because the mean of its divisors is an integer number (76970520).

Almost surely, 2^2514567680 is an apocalyptic number.

2514567680 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 2514567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078820800).

2514567680 is an abundant number, since it is smaller than the sum of its proper divisors (3643073920).

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

2514567680 is an equidigital number, since it uses as much as digits as its factorization.

2514567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20969 (or 20953 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 2514567680 is about 50145.4651987595. The cubic root of 2514567680 is about 1359.8398888789.

The spelling of 2514567680 in words is "two billion, five hundred fourteen million, five hundred sixty-seven thousand, six hundred eighty".