2153466000 has 560 divisors, whose sum is σ = 8964628608. Its totient is φ = 489888000.

The previous prime is 2153465989. The next prime is 2153466017. The reversal of 2153466000 is 6643512.

2153466000 is a `hidden beast` number, since 2 + 1 + 53 + 4 + 6 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10205895 + ... + 10206105.

Almost surely, 2^2153466000 is an apocalyptic number.

2153466000 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 2153466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482314304).

2153466000 is an abundant number, since it is smaller than the sum of its proper divisors (6811162608).

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

2153466000 is an equidigital number, since it uses as much as digits as its factorization.

2153466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2153466000 is about 46405.4522658707. The cubic root of 2153466000 is about 1291.3560645235.

The spelling of 2153466000 in words is "two billion, one hundred fifty-three million, four hundred sixty-six thousand".