2653347840 has 448 divisors, whose sum is σ = 10040550912. Its totient is φ = 589824000.

The previous prime is 2653347817. The next prime is 2653347971. The reversal of 2653347840 is 487433562.

It is a junction number, because it is equal to n+sod(n) for n = 2653347792 and 2653347801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17571765 + ... + 17571915.

It is an arithmetic number, because the mean of its divisors is an integer number (22411944).

Almost surely, 2^2653347840 is an apocalyptic number.

2653347840 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 2653347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020275456).

2653347840 is an abundant number, since it is smaller than the sum of its proper divisors (7387203072).

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

2653347840 is a wasteful number, since it uses less digits than its factorization.

2653347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 2653347840 is about 51510.6575380280. The cubic root of 2653347840 is about 1384.4100047132.

The spelling of 2653347840 in words is "two billion, six hundred fifty-three million, three hundred forty-seven thousand, eight hundred forty".