2049600 has 168 divisors, whose sum is σ = 7811008. Its totient is φ = 460800.

The previous prime is 2049589. The next prime is 2049611. The reversal of 2049600 is 69402.

It is an interprime number because it is at equal distance from previous prime (2049589) and next prime (2049611).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33570 + ... + 33630.

2^2049600 is an apocalyptic number.

2049600 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 2049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905504).

2049600 is an abundant number, since it is smaller than the sum of its proper divisors (5761408).

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

2049600 is a wasteful number, since it uses less digits than its factorization.

2049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2049600 is about 1431.6424134539. The cubic root of 2049600 is about 127.0251464042.

The spelling of 2049600 in words is "two million, forty-nine thousand, six hundred".