2722020864 has 120 divisors (see below), whose sum is σ = 7654945320. Its totient is φ = 859410432.

The previous prime is 2722020863. The next prime is 2722020877. The reversal of 2722020864 is 4680202272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2722020863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552042 + ... + 556950.

It is an arithmetic number, because the mean of its divisors is an integer number (63791211).

Almost surely, 2^2722020864 is an apocalyptic number.

2722020864 is a gapful number since it is divisible by the number (24) 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 2722020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827472660).

2722020864 is an abundant number, since it is smaller than the sum of its proper divisors (4932924456).

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

2722020864 is an equidigital number, since it uses as much as digits as its factorization.

2722020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2722020864 is about 52172.9897935704. The cubic root of 2722020864 is about 1396.2520268670.

It can be divided in two parts, 27220 and 20864, that added together give a palindrome (48084).

The spelling of 2722020864 in words is "two billion, seven hundred twenty-two million, twenty thousand, eight hundred sixty-four".