2542476288 has 88 divisors (see below), whose sum is σ = 7392781440. Its totient is φ = 770437120.

The previous prime is 2542476263. The next prime is 2542476289. The reversal of 2542476288 is 8826742452.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542476289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3828 + ... + 71411.

It is an arithmetic number, because the mean of its divisors is an integer number (84008880).

Almost surely, 2^2542476288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542476288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696390720).

2542476288 is an abundant number, since it is smaller than the sum of its proper divisors (4850305152).

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

2542476288 is a wasteful number, since it uses less digits than its factorization.

2542476288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75273 (or 75255 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The square root of 2542476288 is about 50422.9738115475. The cubic root of 2542476288 is about 1364.8522407113.

The spelling of 2542476288 in words is "two billion, five hundred forty-two million, four hundred seventy-six thousand, two hundred eighty-eight".