2654128512 has 256 divisors, whose sum is σ = 9139200000. Its totient is φ = 757983744.

The previous prime is 2654128501. The next prime is 2654128523. The reversal of 2654128512 is 2158214562.

2654128512 is a `hidden beast` number, since 26 + 541 + 2 + 85 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (2654128501) and next prime (2654128523).

It is a super-2 number, since 2×2654128512² = 14088796316422668288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1184289 + ... + 1186527.

It is an arithmetic number, because the mean of its divisors is an integer number (35700000).

Almost surely, 2^2654128512 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 2654128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569600000).

2654128512 is an abundant number, since it is smaller than the sum of its proper divisors (6485071488).

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

2654128512 is an equidigital number, since it uses as much as digits as its factorization.

2654128512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2251 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2654128512 is about 51518.2347523670. The cubic root of 2654128512 is about 1384.5457657988.

The spelling of 2654128512 in words is "two billion, six hundred fifty-four million, one hundred twenty-eight thousand, five hundred twelve".