2654496000 has 432 divisors, whose sum is σ = 10300901520. Its totient is φ = 652492800.

The previous prime is 2654495999. The next prime is 2654496011. The reversal of 2654496000 is 6944562.

2654496000 is a `hidden beast` number, since 2 + 6 + 5 + 4 + 49 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1895383296 + 759112704 = 43536^2 + 27552^2 .

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3743646 + ... + 3744354.

Almost surely, 2^2654496000 is an apocalyptic number.

2654496000 is a gapful number since it is divisible by the number (20) 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 2654496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150450760).

2654496000 is an abundant number, since it is smaller than the sum of its proper divisors (7646405520).

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

2654496000 is a wasteful number, since it uses less digits than its factorization.

2654496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2654496000 is about 51521.8012107496. The cubic root of 2654496000 is about 1384.6096637940.

The spelling of 2654496000 in words is "two billion, six hundred fifty-four million, four hundred ninety-six thousand".