2146954000 has 80 divisors (see below), whose sum is σ = 5206224816. Its totient is φ = 856320000.

The previous prime is 2146953997. The next prime is 2146954063. The reversal of 2146954000 is 4596412.

It can be written as a sum of positive squares in 8 ways, for example, as 658846224 + 1488107776 = 25668^2 + 38576^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2146954000² = 9218822956232000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800662 + ... + 803338.

Almost surely, 2^2146954000 is an apocalyptic number.

2146954000 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 2146954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603112408).

2146954000 is an abundant number, since it is smaller than the sum of its proper divisors (3059270816).

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

2146954000 is a wasteful number, since it uses less digits than its factorization.

2146954000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2146954000 is about 46335.2349729663. The cubic root of 2146954000 is about 1290.0530795618.

The spelling of 2146954000 in words is "two billion, one hundred forty-six million, nine hundred fifty-four thousand".