2642754540 has 48 divisors (see below), whose sum is σ = 7557161472. Its totient is φ = 689739456.

The previous prime is 2642754539. The next prime is 2642754551. The reversal of 2642754540 is 454572462.

It is a super-3 number, since 3×2642754540³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465754 + ... + 471393.

It is an arithmetic number, because the mean of its divisors is an integer number (157440864).

Almost surely, 2^2642754540 is an apocalyptic number.

2642754540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642754540 is an abundant number, since it is smaller than the sum of its proper divisors (4914406932).

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

2642754540 is a wasteful number, since it uses less digits than its factorization.

2642754540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937206 (or 937204 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The square root of 2642754540 is about 51407.7284073125. The cubic root of 2642754540 is about 1382.5651616775.

The spelling of 2642754540 in words is "two billion, six hundred forty-two million, seven hundred fifty-four thousand, five hundred forty".