2543213600 has 144 divisors (see below), whose sum is σ = 6735647016. Its totient is φ = 933888000.

The previous prime is 2543213599. The next prime is 2543213623. The reversal of 2543213600 is 63123452.

It can be written as a sum of positive squares in 12 ways, for example, as 2650384 + 2540563216 = 1628^2 + 50404^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2543213600.

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, 555320 + ... + 559880.

Almost surely, 2^2543213600 is an apocalyptic number.

2543213600 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 2543213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367823508).

2543213600 is an abundant number, since it is smaller than the sum of its proper divisors (4192433416).

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

2543213600 is a wasteful number, since it uses less digits than its factorization.

2543213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2543213600 is about 50430.2845520427. The cubic root of 2543213600 is about 1364.9841625806.

The spelling of 2543213600 in words is "two billion, five hundred forty-three million, two hundred thirteen thousand, six hundred".