2542938720 has 384 divisors, whose sum is σ = 9809372160. Its totient is φ = 540794880.

The previous prime is 2542938691. The next prime is 2542938767. The reversal of 2542938720 is 278392452.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 3893914 + ... + 3894566.

It is an arithmetic number, because the mean of its divisors is an integer number (25545240).

Almost surely, 2^2542938720 is an apocalyptic number.

2542938720 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 2542938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904686080).

2542938720 is an abundant number, since it is smaller than the sum of its proper divisors (7266433440).

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

2542938720 is a wasteful number, since it uses less digits than its factorization.

2542938720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2542938720 is about 50427.5591318874. The cubic root of 2542938720 is about 1364.9349832844.

The spelling of 2542938720 in words is "two billion, five hundred forty-two million, nine hundred thirty-eight thousand, seven hundred twenty".