2623139064 has 192 divisors, whose sum is σ = 8826417600. Its totient is φ = 685283328.

The previous prime is 2623139063. The next prime is 2623139093. The reversal of 2623139064 is 4609313262.

2623139064 is a `hidden beast` number, since 262 + 3 + 1 + 390 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2623139063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 712332 + ... + 716004.

It is an arithmetic number, because the mean of its divisors is an integer number (45970925).

Almost surely, 2^2623139064 is an apocalyptic number.

2623139064 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 2623139064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413208800).

2623139064 is an abundant number, since it is smaller than the sum of its proper divisors (6203278536).

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

2623139064 is a wasteful number, since it uses less digits than its factorization.

2623139064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2623139064 is about 51216.5897341867. The cubic root of 2623139064 is about 1379.1360313617.

The spelling of 2623139064 in words is "two billion, six hundred twenty-three million, one hundred thirty-nine thousand, sixty-four".