2578653792 has 336 divisors, whose sum is σ = 8953873488. Its totient is φ = 720368640.

The previous prime is 2578653751. The next prime is 2578653797. The reversal of 2578653792 is 2973568752.

2578653792 is a `hidden beast` number, since 2 + 578 + 65 + 3 + 7 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2578653797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3335518 + ... + 3336290.

It is an arithmetic number, because the mean of its divisors is an integer number (26648433).

Almost surely, 2^2578653792 is an apocalyptic number.

2578653792 is a gapful number since it is divisible by the number (22) 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 2578653792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476936744).

2578653792 is an abundant number, since it is smaller than the sum of its proper divisors (6375219696).

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

2578653792 is a wasteful number, since it uses less digits than its factorization.

2578653792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 802 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 2578653792 is about 50780.4469456503. The cubic root of 2578653792 is about 1371.2953794756.

The spelling of 2578653792 in words is "two billion, five hundred seventy-eight million, six hundred fifty-three thousand, seven hundred ninety-two".