2824725897640 has 64 divisors (see below), whose sum is σ = 6764362209360. Its totient is φ = 1057916190720.

The previous prime is 2824725897629. The next prime is 2824725897647. The reversal of 2824725897640 is 467985274282.

2824725897640 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 8 ways, for example, as 304004465956 + 2520721431684 = 551366^2 + 1587678^2 .

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (2824725897647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10630441 + ... + 10892920.

Almost surely, 2^{2824725897640} is an apocalyptic number.

2824725897640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2824725897640 is an abundant number, since it is smaller than the sum of its proper divisors (3939636311720).

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

2824725897640 is a wasteful number, since it uses less digits than its factorization.

2824725897640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21523582 (or 21523578 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 64.

The spelling of 2824725897640 in words is "two trillion, eight hundred twenty-four billion, seven hundred twenty-five million, eight hundred ninety-seven thousand, six hundred forty".