2980375200 has 432 divisors, whose sum is σ = 11596882752. Its totient is φ = 720192000.

The previous prime is 2980375183. The next prime is 2980375201. The reversal of 2980375200 is 25730892.

It is a happy number.

2980375200 is a `hidden beast` number, since 2 + 9 + 80 + 375 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2980375201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9583045 + ... + 9583355.

It is an arithmetic number, because the mean of its divisors is an integer number (26844636).

Almost surely, 2^2980375200 is an apocalyptic number.

2980375200 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 2980375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5798441376).

2980375200 is an abundant number, since it is smaller than the sum of its proper divisors (8616507552).

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

2980375200 is a wasteful number, since it uses less digits than its factorization.

2980375200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2980375200 is about 54592.8127137630. The cubic root of 2980375200 is about 1439.0978145125.

The spelling of 2980375200 in words is "two billion, nine hundred eighty million, three hundred seventy-five thousand, two hundred".