2543142000 has 320 divisors, whose sum is σ = 9455966208. Its totient is φ = 576000000.

The previous prime is 2543141989. The next prime is 2543142011. The reversal of 2543142000 is 2413452.

It is an interprime number because it is at equal distance from previous prime (2543141989) and next prime (2543142011).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6341800 + ... + 6342200.

Almost surely, 2^2543142000 is an apocalyptic number.

2543142000 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 2543142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727983104).

2543142000 is an abundant number, since it is smaller than the sum of its proper divisors (6912824208).

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

2543142000 is a wasteful number, since it uses less digits than its factorization.

2543142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2543142000 is about 50429.5746561480. The cubic root of 2543142000 is about 1364.9713528317.

Adding to 2543142000 its reverse (2413452), we get a palindrome (2545555452).

The spelling of 2543142000 in words is "two billion, five hundred forty-three million, one hundred forty-two thousand".