2649857440 has 48 divisors (see below), whose sum is σ = 6277485312. Its totient is φ = 1057031424.

The previous prime is 2649857423. The next prime is 2649857443. The reversal of 2649857440 is 447589462.

It is not an unprimeable number, because it can be changed into a prime (2649857443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36157 + ... + 81283.

It is an arithmetic number, because the mean of its divisors is an integer number (130780944).

Almost surely, 2^2649857440 is an apocalyptic number.

2649857440 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 2649857440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138742656).

2649857440 is an abundant number, since it is smaller than the sum of its proper divisors (3627627872).

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

2649857440 is a wasteful number, since it uses less digits than its factorization.

2649857440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45509 (or 45501 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The square root of 2649857440 is about 51476.7660211867. The cubic root of 2649857440 is about 1383.8026883002.

It can be divided in two parts, 26498 and 57440, that added together give a palindrome (83938).

The spelling of 2649857440 in words is "two billion, six hundred forty-nine million, eight hundred fifty-seven thousand, four hundred forty".