2154834000 has 240 divisors, whose sum is σ = 8211063744. Its totient is φ = 522336000.

The previous prime is 2154833987. The next prime is 2154834001. The reversal of 2154834000 is 4384512.

2154834000 is a `hidden beast` number, since 215 + 48 + 3 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154834001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192559 + ... + 203441.

Almost surely, 2^2154834000 is an apocalyptic number.

2154834000 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 2154834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105531872).

2154834000 is an abundant number, since it is smaller than the sum of its proper divisors (6056229744).

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

2154834000 is a wasteful number, since it uses less digits than its factorization.

2154834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10923 (or 10904 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2154834000 is about 46420.1895730726. The cubic root of 2154834000 is about 1291.6294534313.

The spelling of 2154834000 in words is "two billion, one hundred fifty-four million, eight hundred thirty-four thousand".