2542740480 has 264 divisors, whose sum is σ = 10070453952. Its totient is φ = 581124096.

The previous prime is 2542740469. The next prime is 2542740481. The reversal of 2542740480 is 840472452.

2542740480 is a `hidden beast` number, since 2 + 542 + 74 + 0 + 48 + 0 = 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 (2542740481) 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, 318619 + ... + 326501.

Almost surely, 2^2542740480 is an apocalyptic number.

2542740480 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 2542740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035226976).

2542740480 is an abundant number, since it is smaller than the sum of its proper divisors (7527713472).

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

2542740480 is a wasteful number, since it uses less digits than its factorization.

2542740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7921 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2542740480 is about 50425.5935017130. The cubic root of 2542740480 is about 1364.8995135946.

The spelling of 2542740480 in words is "two billion, five hundred forty-two million, seven hundred forty thousand, four hundred eighty".