2654561000 has 256 divisors, whose sum is σ = 7900139520. Its totient is φ = 812160000.

The previous prime is 2654560963. The next prime is 2654561009. The reversal of 2654561000 is 1654562.

2654561000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2654561009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2820530 + ... + 2821470.

It is an arithmetic number, because the mean of its divisors is an integer number (30859920).

Almost surely, 2^2654561000 is an apocalyptic number.

2654561000 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 2654561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950069760).

2654561000 is an abundant number, since it is smaller than the sum of its proper divisors (5245578520).

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

2654561000 is a wasteful number, since it uses less digits than its factorization.

2654561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2654561000 is about 51522.4320078158. The cubic root of 2654561000 is about 1384.6209652355.

The spelling of 2654561000 in words is "two billion, six hundred fifty-four million, five hundred sixty-one thousand".