2897533440 has 240 divisors, whose sum is σ = 10564725600. Its totient is φ = 731897856.

The previous prime is 2897533433. The next prime is 2897533487. The reversal of 2897533440 is 443357982.

2897533440 is a `hidden beast` number, since 28 + 97 + 533 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 434451 + ... + 441069.

It is an arithmetic number, because the mean of its divisors is an integer number (44019690).

Almost surely, 2^2897533440 is an apocalyptic number.

2897533440 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 2897533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282362800).

2897533440 is an abundant number, since it is smaller than the sum of its proper divisors (7667192160).

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

2897533440 is a wasteful number, since it uses less digits than its factorization.

2897533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667 (or 6648 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2897533440 is about 53828.7417649716. The cubic root of 2897533440 is about 1425.6387312011.

The spelling of 2897533440 in words is "two billion, eight hundred ninety-seven million, five hundred thirty-three thousand, four hundred forty".