2948759256540 has 48 divisors (see below), whose sum is σ = 8522865469440. Its totient is φ = 760970130240.

The previous prime is 2948759256493. The next prime is 2948759256613. The reversal of 2948759256540 is 456529578492.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792675360 + ... + 792679079.

It is an arithmetic number, because the mean of its divisors is an integer number (177559697280).

Almost surely, 2^{2948759256540} is an apocalyptic number.

2948759256540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2948759256540 is an abundant number, since it is smaller than the sum of its proper divisors (5574106212900).

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

2948759256540 is a wasteful number, since it uses less digits than its factorization.

2948759256540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585354482 (or 1585354480 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 66.

The spelling of 2948759256540 in words is "two trillion, nine hundred forty-eight billion, seven hundred fifty-nine million, two hundred fifty-six thousand, five hundred forty".