2145512400 has 240 divisors, whose sum is σ = 7103712000. Its totient is φ = 553236480.

The previous prime is 2145512393. The next prime is 2145512419. The reversal of 2145512400 is 42155412.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6147426 + ... + 6147774.

It is an arithmetic number, because the mean of its divisors is an integer number (29598800).

Almost surely, 2^2145512400 is an apocalyptic number.

2145512400 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 2145512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551856000).

2145512400 is an abundant number, since it is smaller than the sum of its proper divisors (4958199600).

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

2145512400 is a wasteful number, since it uses less digits than its factorization.

2145512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2145512400 is about 46319.6761646711. The cubic root of 2145512400 is about 1289.7642739759.

Adding to 2145512400 its reverse (42155412), we get a palindrome (2187667812).

The spelling of 2145512400 in words is "two billion, one hundred forty-five million, five hundred twelve thousand, four hundred".