2149680 has 120 divisors (see below), whose sum is σ = 7352208. Its totient is φ = 519168.

The previous prime is 2149661. The next prime is 2149681. The reversal of 2149680 is 869412.

2149680 = T₂₂₄ + T₂₂₅ + ... + T₂₈₈.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2149680² = 9242248204800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2149681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40534 + ... + 40586.

2^2149680 is an apocalyptic number.

2149680 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 2149680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676104).

2149680 is an abundant number, since it is smaller than the sum of its proper divisors (5202528).

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

2149680 is a wasteful number, since it uses less digits than its factorization.

2149680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2149680 is about 1466.1787067067. The cubic root of 2149680 is about 129.0598844610.

The spelling of 2149680 in words is "two million, one hundred forty-nine thousand, six hundred eighty".