2614421680 has 80 divisors (see below), whose sum is σ = 6606452160. Its totient is φ = 956427264.

The previous prime is 2614421639. The next prime is 2614421723. The reversal of 2614421680 is 861244162.

2614421680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101829 + ... + 124891.

It is an arithmetic number, because the mean of its divisors is an integer number (82580652).

Almost surely, 2^2614421680 is an apocalyptic number.

2614421680 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 2614421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303226080).

2614421680 is an abundant number, since it is smaller than the sum of its proper divisors (3992030480).

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

2614421680 is a wasteful number, since it uses less digits than its factorization.

2614421680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23198 (or 23192 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2614421680 is about 51131.4157832540. The cubic root of 2614421680 is about 1377.6065914225.

The spelling of 2614421680 in words is "two billion, six hundred fourteen million, four hundred twenty-one thousand, six hundred eighty".