2154400 has 36 divisors (see below), whose sum is σ = 5261382. Its totient is φ = 861440.

The previous prime is 2154389. The next prime is 2154413. The reversal of 2154400 is 44512.

It can be written as a sum of positive squares in 3 ways, for example, as 1507984 + 646416 = 1228^2 + 804^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 547 + ... + 2146.

2^2154400 is an apocalyptic number.

2154400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2154400 is an abundant number, since it is smaller than the sum of its proper divisors (3106982).

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

2154400 is a wasteful number, since it uses less digits than its factorization.

2154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2154400 is about 1467.7874505527. The cubic root of 2154400 is about 129.1542732935.

Adding to 2154400 its reverse (44512), we get a palindrome (2198912).

It can be divided in two parts, 215 and 4400, that multiplied together give a triangular number (946000 = T₁₃₇₅).

The spelling of 2154400 in words is "two million, one hundred fifty-four thousand, four hundred".