2897664000 has 768 divisors, whose sum is σ = 12265344000. Its totient is φ = 602112000.

The previous prime is 2897663987. The next prime is 2897664013. The reversal of 2897664000 is 4667982.

It is an interprime number because it is at equal distance from previous prime (2897663987) and next prime (2897664013).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263423995 + ... + 263424005.

It is an arithmetic number, because the mean of its divisors is an integer number (15970500).

Almost surely, 2^2897664000 is an apocalyptic number.

2897664000 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 2897664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132672000).

2897664000 is an abundant number, since it is smaller than the sum of its proper divisors (9367680000).

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

2897664000 is an equidigital number, since it uses as much as digits as its factorization.

2897664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2897664000 is about 53829.9544863267. The cubic root of 2897664000 is about 1425.6601435047.

The spelling of 2897664000 in words is "two billion, eight hundred ninety-seven million, six hundred sixty-four thousand".