2215382400 has 1152 divisors, whose sum is σ = 10496828160. Its totient is φ = 447897600.

The previous prime is 2215382371. The next prime is 2215382423. The reversal of 2215382400 is 42835122.

2215382400 is a `hidden beast` number, since 221 + 5 + 38 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59875182 + ... + 59875218.

It is an arithmetic number, because the mean of its divisors is an integer number (9111830).

It is a vampire number, since it can be written as 43200 ⋅ 51282 (with its own digits).

Almost surely, 2^2215382400 is an apocalyptic number.

2215382400 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 2215382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248414080).

2215382400 is an abundant number, since it is smaller than the sum of its proper divisors (8281445760).

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

2215382400 is a wasteful number, since it uses less digits than its factorization.

2215382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2215382400 is about 47067.8488992221. The cubic root of 2215382400 is about 1303.6156544772.

The spelling of 2215382400 in words is "two billion, two hundred fifteen million, three hundred eighty-two thousand, four hundred".