2145024000 has 864 divisors, whose sum is σ = 9467312400. Its totient is φ = 464486400.

The previous prime is 2145023983. The next prime is 2145024041. The reversal of 2145024000 is 4205412.

2145024000 is a `hidden beast` number, since 214 + 50 + 2 + 400 + 0 = 666.

It is a super-2 number, since 2×2145024000² = 9202255921152000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112895991 + ... + 112896009.

Almost surely, 2^2145024000 is an apocalyptic number.

2145024000 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 2145024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733656200).

2145024000 is an abundant number, since it is smaller than the sum of its proper divisors (7322288400).

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

2145024000 is a wasteful number, since it uses less digits than its factorization.

2145024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2145024000 is about 46314.4038070231. The cubic root of 2145024000 is about 1289.6664001260. Note that the first 3 decimals are identical.

Adding to 2145024000 its reverse (4205412), we get a palindrome (2149229412).

The spelling of 2145024000 in words is "two billion, one hundred forty-five million, twenty-four thousand".