2257680 has 80 divisors (see below), whose sum is σ = 7320960. Its totient is φ = 574464.

The previous prime is 2257667. The next prime is 2257687. The reversal of 2257680 is 867522.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257687) 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, 5316 + ... + 5724.

It is an arithmetic number, because the mean of its divisors is an integer number (91512).

2^2257680 is an apocalyptic number.

2257680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2257680 is the 1227-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660480).

2257680 is an abundant number, since it is smaller than the sum of its proper divisors (5063280).

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

2257680 is a wasteful number, since it uses less digits than its factorization.

2257680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2257680 is about 1502.5578191870. The cubic root of 2257680 is about 131.1859914649.

It can be divided in two parts, 225 and 7680, that multiplied together give a cube (1728000 = 120³).

The spelling of 2257680 in words is "two million, two hundred fifty-seven thousand, six hundred eighty".