2107400 has 48 divisors (see below), whose sum is σ = 5038740. Its totient is φ = 819200.

The previous prime is 2107393. The next prime is 2107403. The reversal of 2107400 is 47012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 857476 + 1249924 = 926^2 + 1118^2 .

It is a super-2 number, since 2×2107400² = 8882269520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2107403) 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, 8072 + ... + 8328.

2^2107400 is an apocalyptic number.

2107400 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 2107400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519370).

2107400 is an abundant number, since it is smaller than the sum of its proper divisors (2931340).

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

2107400 is a wasteful number, since it uses less digits than its factorization.

2107400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 2107400 is about 1451.6886718577. The cubic root of 2107400 is about 128.2081573985.

The spelling of 2107400 in words is "two million, one hundred seven thousand, four hundred".