2897532000 has 576 divisors, whose sum is σ = 11676607488. Its totient is φ = 699840000.

The previous prime is 2897531981. The next prime is 2897532023. The reversal of 2897532000 is 2357982.

It is a happy number.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10691865 + ... + 10692135.

It is an arithmetic number, because the mean of its divisors is an integer number (20271888).

Almost surely, 2^2897532000 is an apocalyptic number.

2897532000 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 2897532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838303744).

2897532000 is an abundant number, since it is smaller than the sum of its proper divisors (8779075488).

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

2897532000 is a wasteful number, since it uses less digits than its factorization.

2897532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2897532000 is about 53828.7283892161. The cubic root of 2897532000 is about 1425.6384950324.

Adding to 2897532000 its reverse (2357982), we get a palindrome (2899889982).

The spelling of 2897532000 in words is "two billion, eight hundred ninety-seven million, five hundred thirty-two thousand".