2214672000 has 512 divisors, whose sum is σ = 7981459200. Its totient is φ = 541900800.

The previous prime is 2214671941. The next prime is 2214672013. The reversal of 2214672000 is 2764122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51503979 + ... + 51504021.

Almost surely, 2^2214672000 is an apocalyptic number.

2214672000 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 2214672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3990729600).

2214672000 is an abundant number, since it is smaller than the sum of its proper divisors (5766787200).

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

2214672000 is a wasteful number, since it uses less digits than its factorization.

2214672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2214672000 is about 47060.3017414891. The cubic root of 2214672000 is about 1303.4762974122.

The spelling of 2214672000 in words is "two billion, two hundred fourteen million, six hundred seventy-two thousand".