2542088640 has 336 divisors, whose sum is σ = 10113520032. Its totient is φ = 536223744.

The previous prime is 2542088611. The next prime is 2542088669. The reversal of 2542088640 is 468802452.

It is an interprime number because it is at equal distance from previous prime (2542088611) and next prime (2542088669).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 609442 + ... + 613598.

It is an arithmetic number, because the mean of its divisors is an integer number (30099762).

Almost surely, 2^2542088640 is an apocalyptic number.

2542088640 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 2542088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056760016).

2542088640 is an abundant number, since it is smaller than the sum of its proper divisors (7571431392).

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

2542088640 is a wasteful number, since it uses less digits than its factorization.

2542088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 2542088640 is about 50419.1297029213. The cubic root of 2542088640 is about 1364.7828714464.

The spelling of 2542088640 in words is "two billion, five hundred forty-two million, eighty-eight thousand, six hundred forty".