2892492000 has 144 divisors (see below), whose sum is σ = 10265581872. Its totient is φ = 771321600.

The previous prime is 2892491981. The next prime is 2892492019. The reversal of 2892492000 is 2942982.

It is an interprime number because it is at equal distance from previous prime (2892491981) and next prime (2892492019).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4174 + ... + 76173.

It is an arithmetic number, because the mean of its divisors is an integer number (71288763).

Almost surely, 2^2892492000 is an apocalyptic number.

2892492000 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 2892492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132790936).

2892492000 is an abundant number, since it is smaller than the sum of its proper divisors (7373089872).

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

2892492000 is a wasteful number, since it uses less digits than its factorization.

2892492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80378 (or 80357 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2892492000 is about 53781.8928636767. The cubic root of 2892492000 is about 1424.8114247231.

The spelling of 2892492000 in words is "two billion, eight hundred ninety-two million, four hundred ninety-two thousand".