9002024641 has 9 divisors (see below), whose sum is σ = 9125014563. Its totient is φ = 8880674400.

The previous prime is 9002024623. The next prime is 9002024663. The reversal of 9002024641 is 1464202009.

The square root of 9002024641 is 94879.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14984641 + 8987040000 = 3871^2 + 94800^2 .

It is not a de Polignac number, because 9002024641 - 2¹¹ = 9002022593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9002024341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7494841 + ... + 7496041.

It is an arithmetic number, because the mean of its divisors is an integer number (1013890507).

Almost surely, 2^9002024641 is an apocalyptic number.

9002024641 is the 94879-th square number.

9002024641 is the 47440-th centered octagonal number.

It is an amenable number.

9002024641 is a deficient number, since it is larger than the sum of its proper divisors (122989922).

9002024641 is an frugal number, since it uses more digits than its factorization.

9002024641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The cubic root of 9002024641 is about 2080.2397899864.

The spelling of 9002024641 in words is "nine billion, two million, twenty-four thousand, six hundred forty-one".