2744123064 has 64 divisors (see below), whose sum is σ = 7000266240. Its totient is φ = 896165760.

The previous prime is 2744123033. The next prime is 2744123143. The reversal of 2744123064 is 4603214472.

It is a super-2 number, since 2×2744123064² = 15060422780753496192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381469 + ... + 388595.

It is an arithmetic number, because the mean of its divisors is an integer number (109379160).

Almost surely, 2^2744123064 is an apocalyptic number.

2744123064 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 2744123064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500133120).

2744123064 is an abundant number, since it is smaller than the sum of its proper divisors (4256143176).

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

2744123064 is a wasteful number, since it uses less digits than its factorization.

2744123064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7460 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2744123064 is about 52384.3780530036. The cubic root of 2744123064 is about 1400.0209289388.

It can be divided in two parts, 27441 and 23064, that added together give a palindrome (50505).

The spelling of 2744123064 in words is "two billion, seven hundred forty-four million, one hundred twenty-three thousand, sixty-four".