2357680 has 40 divisors (see below), whose sum is σ = 5905872. Its totient is φ = 870144.

The previous prime is 2357657. The next prime is 2357683. The reversal of 2357680 is 867532.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2357683) 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, 94 + ... + 2173.

2^2357680 is an apocalyptic number.

2357680 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 2357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952936).

2357680 is an abundant number, since it is smaller than the sum of its proper divisors (3548192).

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

2357680 is a wasteful number, since it uses less digits than its factorization.

2357680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 2357680 is about 1535.4738682244. The cubic root of 2357680 is about 133.0949629897.

The spelling of 2357680 in words is "two million, three hundred fifty-seven thousand, six hundred eighty".