2227438400 has 168 divisors, whose sum is σ = 6294790560. Its totient is φ = 767232000.

The previous prime is 2227438373. The next prime is 2227438471. The reversal of 2227438400 is 48347222.

It is a super-2 number, since 2×2227438400² = 9922963651589120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331070 + ... + 337730.

Almost surely, 2^2227438400 is an apocalyptic number.

2227438400 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 2227438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147395280).

2227438400 is an abundant number, since it is smaller than the sum of its proper divisors (4067352160).

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

2227438400 is a wasteful number, since it uses less digits than its factorization.

2227438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6713 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 2227438400 is about 47195.7455709728. The cubic root of 2227438400 is about 1305.9761148265.

The spelling of 2227438400 in words is "two billion, two hundred twenty-seven million, four hundred thirty-eight thousand, four hundred".