2542740624 has 120 divisors (see below), whose sum is σ = 7312032000. Its totient is φ = 824378880.

The previous prime is 2542740623. The next prime is 2542740647. The reversal of 2542740624 is 4260472452.

2542740624 is a `hidden beast` number, since 2 + 5 + 4 + 27 + 4 + 0 + 624 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2542740623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3536137 + ... + 3536855.

It is an arithmetic number, because the mean of its divisors is an integer number (60933600).

Almost surely, 2^2542740624 is an apocalyptic number.

2542740624 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 2542740624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016000).

2542740624 is an abundant number, since it is smaller than the sum of its proper divisors (4769291376).

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

2542740624 is a wasteful number, since it uses less digits than its factorization.

2542740624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1364 counting only the distinct ones).

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

The square root of 2542740624 is about 50425.5949295593. The cubic root of 2542740624 is about 1364.8995393601.

The spelling of 2542740624 in words is "two billion, five hundred forty-two million, seven hundred forty thousand, six hundred twenty-four".