2944514664 has 576 divisors, whose sum is σ = 10954944000. Its totient is φ = 705438720.

The previous prime is 2944514621. The next prime is 2944514707. The reversal of 2944514664 is 4664154492.

2944514664 is a `hidden beast` number, since 2 + 9 + 445 + 146 + 64 = 666.

2944514664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2944514621) and next prime (2944514707).

It is a super-2 number, since 2×2944514664² = 17340333213022065792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27013842 + ... + 27013950.

It is an arithmetic number, because the mean of its divisors is an integer number (19019000).

Almost surely, 2^2944514664 is an apocalyptic number.

2944514664 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 2944514664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477472000).

2944514664 is an abundant number, since it is smaller than the sum of its proper divisors (8010429336).

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

2944514664 is a wasteful number, since it uses less digits than its factorization.

2944514664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2944514664 is about 54263.3823494260. The cubic root of 2944514664 is about 1433.3026610106.

The spelling of 2944514664 in words is "two billion, nine hundred forty-four million, five hundred fourteen thousand, six hundred sixty-four".