2563242000 has 320 divisors, whose sum is σ = 9158842368. Its totient is φ = 611520000.

The previous prime is 2563241999. The next prime is 2563242001. The reversal of 2563242000 is 2423652.

It is an interprime number because it is at equal distance from previous prime (2563241999) and next prime (2563242001).

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

It is not an unprimeable number, because it can be changed into a prime (2563242001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4685727 + ... + 4686273.

Almost surely, 2^2563242000 is an apocalyptic number.

2563242000 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 2563242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579421184).

2563242000 is an abundant number, since it is smaller than the sum of its proper divisors (6595600368).

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

2563242000 is a wasteful number, since it uses less digits than its factorization.

2563242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2563242000 is about 50628.4702514307. The cubic root of 2563242000 is about 1368.5579868679.

Adding to 2563242000 its reverse (2423652), we get a palindrome (2565665652).

The spelling of 2563242000 in words is "two billion, five hundred sixty-three million, two hundred forty-two thousand".