2154789000 has 512 divisors, whose sum is σ = 9204249600. Its totient is φ = 454118400.

The previous prime is 2154788983. The next prime is 2154789037. The reversal of 2154789000 is 9874512.

2154789000 is a `hidden beast` number, since 21 + 547 + 8 + 90 + 0 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 2456562 + ... + 2457438.

It is an arithmetic number, because the mean of its divisors is an integer number (17977050).

Almost surely, 2^2154789000 is an apocalyptic number.

2154789000 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 2154789000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602124800).

2154789000 is an abundant number, since it is smaller than the sum of its proper divisors (7049460600).

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

2154789000 is a wasteful number, since it uses less digits than its factorization.

2154789000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2154789000 is about 46419.7048676529. The cubic root of 2154789000 is about 1291.6204622159.

The spelling of 2154789000 in words is "two billion, one hundred fifty-four million, seven hundred eighty-nine thousand".