2984325120 has 520 divisors, whose sum is σ = 12273918624. Its totient is φ = 679477248.

The previous prime is 2984325107. The next prime is 2984325137. The reversal of 2984325120 is 215234892.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11612032 + ... + 11612288.

Almost surely, 2^2984325120 is an apocalyptic number.

2984325120 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 2984325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136959312).

2984325120 is an abundant number, since it is smaller than the sum of its proper divisors (9289593504).

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

2984325120 is an equidigital number, since it uses as much as digits as its factorization.

2984325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2984325120 is about 54628.9769261699. The cubic root of 2984325120 is about 1439.7332839354.

The spelling of 2984325120 in words is "two billion, nine hundred eighty-four million, three hundred twenty-five thousand, one hundred twenty".