2216078400 has 336 divisors, whose sum is σ = 7673937408. Its totient is φ = 559104000.

The previous prime is 2216078377. The next prime is 2216078411. The reversal of 2216078400 is 48706122.

It is a super-2 number, since 2×2216078400² = 9822006949893120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7886260 + ... + 7886540.

Almost surely, 2^2216078400 is an apocalyptic number.

2216078400 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 2216078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836968704).

2216078400 is an abundant number, since it is smaller than the sum of its proper divisors (5457859008).

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

2216078400 is a wasteful number, since it uses less digits than its factorization.

2216078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2216078400 is about 47075.2419005999. The cubic root of 2216078400 is about 1303.7521578480.

The spelling of 2216078400 in words is "two billion, two hundred sixteen million, seventy-eight thousand, four hundred".