2654281728 has 336 divisors, whose sum is σ = 9064386240. Its totient is φ = 732561408.

The previous prime is 2654281699. The next prime is 2654281771. The reversal of 2654281728 is 8271824562.

2654281728 is a `hidden beast` number, since 2 + 6 + 542 + 81 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2654281728² = 14090422983189331968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19095483 + ... + 19095621.

It is an arithmetic number, because the mean of its divisors is an integer number (26977340).

Almost surely, 2^2654281728 is an apocalyptic number.

2654281728 is a gapful number since it is divisible by the number (28) 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 2654281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532193120).

2654281728 is an abundant number, since it is smaller than the sum of its proper divisors (6410104512).

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

2654281728 is a wasteful number, since it uses less digits than its factorization.

2654281728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 2654281728 is about 51519.7217383790. The cubic root of 2654281728 is about 1384.5724073726.

The spelling of 2654281728 in words is "two billion, six hundred fifty-four million, two hundred eighty-one thousand, seven hundred twenty-eight".