2897648640 has 528 divisors, whose sum is σ = 11105089632. Its totient is φ = 721944576.

The previous prime is 2897648639. The next prime is 2897648671. The reversal of 2897648640 is 468467982.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 21150652 + ... + 21150788.

Almost surely, 2^2897648640 is an apocalyptic number.

2897648640 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 2897648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552544816).

2897648640 is an abundant number, since it is smaller than the sum of its proper divisors (8207440992).

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

2897648640 is a wasteful number, since it uses less digits than its factorization.

2897648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2897648640 is about 53829.8118146441. The cubic root of 2897648640 is about 1425.6576244435.

The spelling of 2897648640 in words is "two billion, eight hundred ninety-seven million, six hundred forty-eight thousand, six hundred forty".