2145542400 has 243 divisors, whose sum is σ = 7710749319. Its totient is φ = 569180160.

The previous prime is 2145542389. The next prime is 2145542401. The reversal of 2145542400 is 42455412.

The square root of 2145542400 is 46320.

It is a perfect power (a square), and thus also a powerful number.

2145542400 is a `hidden beast` number, since 214 + 5 + 5 + 42 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 345067776 + 1800474624 = 18576^2 + 42432^2 .

It is not an unprimeable number, because it can be changed into a prime (2145542401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11116704 + ... + 11116896.

Almost surely, 2^2145542400 is an apocalyptic number.

2145542400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2145542400 is the 46320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145542400

2145542400 is an abundant number, since it is smaller than the sum of its proper divisors (5565206919).

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

2145542400 is an equidigital number, since it uses as much as digits as its factorization.

2145542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The cubic root of 2145542400 is about 1289.7702853989.

Multiplying 2145542400 by its product of nonzero digits (6400), we get a square (13731471360000 = 3705600²).

2145542400 divided by its product of nonzero digits (6400) gives a square (335241 = 579²).

Adding to 2145542400 its reverse (42455412), we get a palindrome (2187997812).

The spelling of 2145542400 in words is "two billion, one hundred forty-five million, five hundred forty-two thousand, four hundred".