2606734944 has 432 divisors, whose sum is σ = 8923299840. Its totient is φ = 718502400.

The previous prime is 2606734943. The next prime is 2606734961. The reversal of 2606734944 is 4494376062.

It is a happy number.

2606734944 is a `hidden beast` number, since 2 + 606 + 7 + 34 + 9 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2606734944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2606734943) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20525409 + ... + 20525535.

Almost surely, 2^2606734944 is an apocalyptic number.

2606734944 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 2606734944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461649920).

2606734944 is an abundant number, since it is smaller than the sum of its proper divisors (6316564896).

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

2606734944 is a wasteful number, since it uses less digits than its factorization.

2606734944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 2606734944 is about 51056.1939827089. The cubic root of 2606734944 is about 1376.2551525668.

The spelling of 2606734944 in words is "two billion, six hundred six million, seven hundred thirty-four thousand, nine hundred forty-four".