2076400 has 60 divisors (see below), whose sum is σ = 5189400. Its totient is φ = 797440.

The previous prime is 2076391. The next prime is 2076407. The reversal of 2076400 is 46702.

It is a super-2 number, since 2×2076400² = 8622873920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2076407) 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, 11511 + ... + 11689.

It is an arithmetic number, because the mean of its divisors is an integer number (86490).

2^2076400 is an apocalyptic number.

2076400 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 2076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594700).

2076400 is an abundant number, since it is smaller than the sum of its proper divisors (3113000).

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

2076400 is a wasteful number, since it uses less digits than its factorization.

2076400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 2076400 is about 1440.9718942436. The cubic root of 2076400 is about 127.5763991688.

The spelling of 2076400 in words is "two million, seventy-six thousand, four hundred".