2862972000 has 576 divisors, whose sum is σ = 12145049280. Its totient is φ = 653184000.

The previous prime is 2862971939. The next prime is 2862972001. The reversal of 2862972000 is 2792682.

2862972000 is a `hidden beast` number, since 2 + 8 + 629 + 7 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2862972001) 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, 5291730 + ... + 5292270.

It is an arithmetic number, because the mean of its divisors is an integer number (21085155).

Almost surely, 2^2862972000 is an apocalyptic number.

2862972000 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 2862972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072524640).

2862972000 is an abundant number, since it is smaller than the sum of its proper divisors (9282077280).

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

2862972000 is a wasteful number, since it uses less digits than its factorization.

2862972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2862972000 is about 53506.7472380820. The cubic root of 2862972000 is about 1419.9477597657.

The spelling of 2862972000 in words is "two billion, eight hundred sixty-two million, nine hundred seventy-two thousand".