2817948672 has 594 divisors, whose sum is σ = 10787673624. Its totient is φ = 693411840.

The previous prime is 2817948671. The next prime is 2817948697. The reversal of 2817948672 is 2768497182.

It is a happy number.

2817948672 is a `hidden beast` number, since 28 + 1 + 79 + 486 + 72 = 666.

2817948672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2709504) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2817948671) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 148313079 + ... + 148313097.

Almost surely, 2^2817948672 is an apocalyptic number.

2817948672 is a gapful number since it is divisible by the number (22) 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 2817948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393836812).

2817948672 is an abundant number, since it is smaller than the sum of its proper divisors (7969724952).

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

2817948672 is a wasteful number, since it uses less digits than its factorization.

2817948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 42 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 2817948672 is about 53084.3543051999. The cubic root of 2817948672 is about 1412.4649924965.

The spelling of 2817948672 in words is "two billion, eight hundred seventeen million, nine hundred forty-eight thousand, six hundred seventy-two".