2215400 has 96 divisors (see below), whose sum is σ = 6026400. Its totient is φ = 748800.

The previous prime is 2215399. The next prime is 2215417. The reversal of 2215400 is 45122.

2215400 = T₈₁ + T₈₂ + ... + T₂₃₉.

2215400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2 + 2⁷ + 1 + 5⁹ + 4⁹ + 0 + 0 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41774 + ... + 41826.

It is an arithmetic number, because the mean of its divisors is an integer number (62775).

2^2215400 is an apocalyptic number.

2215400 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 2215400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013200).

2215400 is an abundant number, since it is smaller than the sum of its proper divisors (3811000).

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

2215400 is a wasteful number, since it uses less digits than its factorization.

2215400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2215400 is about 1488.4219831755. The cubic root of 2215400 is about 130.3619106639.

The spelling of 2215400 in words is "two million, two hundred fifteen thousand, four hundred".