2978227200 has 528 divisors, whose sum is σ = 11229350720. Its totient is φ = 690094080.

The previous prime is 2978227183. The next prime is 2978227303. The reversal of 2978227200 is 27228792.

It is a super-3 number, since 3×2978227200³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 18969522 + ... + 18969678.

Almost surely, 2^2978227200 is an apocalyptic number.

2978227200 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 2978227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614675360).

2978227200 is an abundant number, since it is smaller than the sum of its proper divisors (8251123520).

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

2978227200 is a wasteful number, since it uses less digits than its factorization.

2978227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 2978227200 is about 54573.1362485243. The cubic root of 2978227200 is about 1438.7520051411.

The spelling of 2978227200 in words is "two billion, nine hundred seventy-eight million, two hundred twenty-seven thousand, two hundred".