2010400 has 72 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 687360.

The previous prime is 2010397. The next prime is 2010401. The reversal of 2010400 is 40102.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (2010401) 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, 5421 + ... + 5779.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

2^2010400 is an apocalyptic number.

2010400 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 2010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2010400 is an abundant number, since it is smaller than the sum of its proper divisors (3614240).

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

2010400 is a wasteful number, since it uses less digits than its factorization.

2010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2010400 is about 1417.8857499813. The cubic root of 2010400 is about 126.2101138583.

Adding to 2010400 its reverse (40102), we get a palindrome (2050502).

The spelling of 2010400 in words is "two million, ten thousand, four hundred".