2674617680 has 80 divisors (see below), whose sum is σ = 7196920320. Its totient is φ = 905389056.

The previous prime is 2674617613. The next prime is 2674617683. The reversal of 2674617680 is 867164762.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2674617683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14012 + ... + 74468.

It is an arithmetic number, because the mean of its divisors is an integer number (89961504).

Almost surely, 2^2674617680 is an apocalyptic number.

2674617680 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 2674617680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598460160).

2674617680 is an abundant number, since it is smaller than the sum of its proper divisors (4522302640).

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

2674617680 is a wasteful number, since it uses less digits than its factorization.

2674617680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60556 (or 60550 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The square root of 2674617680 is about 51716.7060049265. The cubic root of 2674617680 is about 1388.0994123583.

The spelling of 2674617680 in words is "two billion, six hundred seventy-four million, six hundred seventeen thousand, six hundred eighty".