2654759296 has 128 divisors (see below), whose sum is σ = 6345216000. Its totient is φ = 1082296320.

The previous prime is 2654759293. The next prime is 2654759297. The reversal of 2654759296 is 6929574562.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2654759293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1844145 + ... + 1845583.

It is an arithmetic number, because the mean of its divisors is an integer number (49572000).

Almost surely, 2^2654759296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2654759296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172608000).

2654759296 is an abundant number, since it is smaller than the sum of its proper divisors (3690456704).

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

2654759296 is a wasteful number, since it uses less digits than its factorization.

2654759296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1548 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 55.

The square root of 2654759296 is about 51524.3563375614. The cubic root of 2654759296 is about 1384.6554414901.

The spelling of 2654759296 in words is "two billion, six hundred fifty-four million, seven hundred fifty-nine thousand, two hundred ninety-six".