2145150400 has 168 divisors, whose sum is σ = 5545815680. Its totient is φ = 815616000.

The previous prime is 2145150383. The next prime is 2145150419. The reversal of 2145150400 is 40515412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3025246 + ... + 3025954.

Almost surely, 2^2145150400 is an apocalyptic number.

2145150400 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 2145150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772907840).

2145150400 is an abundant number, since it is smaller than the sum of its proper divisors (3400665280).

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

2145150400 is a wasteful number, since it uses less digits than its factorization.

2145150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2145150400 is about 46315.7683732009. The cubic root of 2145150400 is about 1289.6917317200.

Adding to 2145150400 its reverse (40515412), we get a palindrome (2185665812).

The spelling of 2145150400 in words is "two billion, one hundred forty-five million, one hundred fifty thousand, four hundred".