2897076000 has 576 divisors, whose sum is σ = 11920970880. Its totient is φ = 609638400.

The previous prime is 2897075981. The next prime is 2897076019. The reversal of 2897076000 is 6707982.

It is an interprime number because it is at equal distance from previous prime (2897075981) and next prime (2897076019).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2897076000.

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 95 ways as a sum of consecutive naturals, for example, 7643811 + ... + 7644189.

It is an arithmetic number, because the mean of its divisors is an integer number (20696130).

Almost surely, 2^2897076000 is an apocalyptic number.

2897076000 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 2897076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960485440).

2897076000 is an abundant number, since it is smaller than the sum of its proper divisors (9023894880).

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

2897076000 is a wasteful number, since it uses less digits than its factorization.

2897076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 2897076000 is about 53824.4925661171. The cubic root of 2897076000 is about 1425.5637043416.

The spelling of 2897076000 in words is "two billion, eight hundred ninety-seven million, seventy-six thousand".