2542413744 has 260 divisors, whose sum is σ = 8303228976. Its totient is φ = 748268928.

The previous prime is 2542413707. The next prime is 2542413749. The reversal of 2542413744 is 4473142452.

2542413744 is a `hidden beast` number, since 2 + 542 + 41 + 3 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (107520) is a multiple of the sum of its prime factors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2542413699 and 2542413708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542413749) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 110539717 + ... + 110539739.

Almost surely, 2^2542413744 is an apocalyptic number.

2542413744 is a gapful number since it is divisible by the number (24) 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 2542413744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151614488).

2542413744 is an abundant number, since it is smaller than the sum of its proper divisors (5760815232).

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

2542413744 is an frugal number, since it uses more digits than its factorization.

2542413744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 2542413744 is about 50422.3536142453. The cubic root of 2542413744 is about 1364.8410489952.

The spelling of 2542413744 in words is "two billion, five hundred forty-two million, four hundred thirteen thousand, seven hundred forty-four".