2996280000 has 840 divisors, whose sum is σ = 12997464480. Its totient is φ = 645120000.

The previous prime is 2996279941. The next prime is 2996280037. The reversal of 2996280000 is 826992.

2996280000 is a `hidden beast` number, since 29 + 9 + 628 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 73079980 + ... + 73080020.

It is an arithmetic number, because the mean of its divisors is an integer number (15473172).

Almost surely, 2^2996280000 is an apocalyptic number.

2996280000 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 2996280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498732240).

2996280000 is an abundant number, since it is smaller than the sum of its proper divisors (10001184480).

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

2996280000 is a wasteful number, since it uses less digits than its factorization.

2996280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2996280000 is about 54738.2864181918. The cubic root of 2996280000 is about 1441.6531939148.

The spelling of 2996280000 in words is "two billion, nine hundred ninety-six million, two hundred eighty thousand".