2542806000 has 720 divisors, whose sum is σ = 10948897440. Its totient is φ = 562464000.

The previous prime is 2542805987. The next prime is 2542806029. The reversal of 2542806000 is 6082452.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2542806000 is a `hidden beast` number, since 2 + 54 + 2 + 8 + 0 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 82025985 + ... + 82026015.

It is an arithmetic number, because the mean of its divisors is an integer number (15206802).

Almost surely, 2^2542806000 is an apocalyptic number.

2542806000 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 2542806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5474448720).

2542806000 is an abundant number, since it is smaller than the sum of its proper divisors (8406091440).

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

2542806000 is a wasteful number, since it uses less digits than its factorization.

2542806000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2542806000 is about 50426.2431676206. The cubic root of 2542806000 is about 1364.9112368316.

Multiplying 2542806000 by its product of nonzero digits (3840), we get a square (9764375040000 = 3124800²).

Adding to 2542806000 its reverse (6082452), we get a palindrome (2548888452).

The spelling of 2542806000 in words is "two billion, five hundred forty-two million, eight hundred six thousand".