2079600 has 60 divisors (see below), whose sum is σ = 6665496. Its totient is φ = 554240.

The previous prime is 2079599. The next prime is 2079601. The reversal of 2079600 is 69702.

It is an interprime number because it is at equal distance from previous prime (2079599) and next prime (2079601).

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334 + ... + 2066.

2^2079600 is an apocalyptic number.

2079600 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 2079600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332748).

2079600 is an abundant number, since it is smaller than the sum of its proper divisors (4585896).

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

2079600 is a wasteful number, since it uses less digits than its factorization.

2079600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2079600 is about 1442.0818284688. The cubic root of 2079600 is about 127.6419027548.

The spelling of 2079600 in words is "two million, seventy-nine thousand, six hundred".