2997961200 has 480 divisors, whose sum is σ = 11650087680. Its totient is φ = 727833600.

The previous prime is 2997961199. The next prime is 2997961207. The reversal of 2997961200 is 21697992.

2997961200 is a `hidden beast` number, since 29 + 9 + 7 + 9 + 612 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2997961207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18392319 + ... + 18392481.

It is an arithmetic number, because the mean of its divisors is an integer number (24271016).

Almost surely, 2^2997961200 is an apocalyptic number.

2997961200 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 2997961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825043840).

2997961200 is an abundant number, since it is smaller than the sum of its proper divisors (8652126480).

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

2997961200 is a wasteful number, since it uses less digits than its factorization.

2997961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 2997961200 is about 54753.6409748247. The cubic root of 2997961200 is about 1441.9227786644.

The spelling of 2997961200 in words is "two billion, nine hundred ninety-seven million, nine hundred sixty-one thousand, two hundred".