2889961200 has 720 divisors, whose sum is σ = 12340162560. Its totient is φ = 640120320.

The previous prime is 2889961171. The next prime is 2889961229. The reversal of 2889961200 is 21699882.

2889961200 is a `hidden beast` number, since 28 + 8 + 9 + 9 + 612 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2889961171) and next prime (2889961229).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22755537 + ... + 22755663.

Almost surely, 2^2889961200 is an apocalyptic number.

2889961200 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 2889961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170081280).

2889961200 is an abundant number, since it is smaller than the sum of its proper divisors (9450201360).

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

2889961200 is a wasteful number, since it uses less digits than its factorization.

2889961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2889961200 is about 53758.3593499653. The cubic root of 2889961200 is about 1424.3957548975.

The spelling of 2889961200 in words is "two billion, eight hundred eighty-nine million, nine hundred sixty-one thousand, two hundred".