2948932059840 has 1344 divisors, whose sum is σ = 11794841210880. Its totient is φ = 696391188480.

The previous prime is 2948932059761. The next prime is 2948932059911. The reversal of 2948932059840 is 489502398492.

2948932059840 is a `hidden beast` number, since 2 + 9 + 4 + 8 + 9 + 32 + 0 + 598 + 4 + 0 = 666.

It is a super-3 number, since 3×2948932059840³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4355881582 + ... + 4355882258.

It is an arithmetic number, because the mean of its divisors is an integer number (8775923520).

Almost surely, 2^{2948932059840} is an apocalyptic number.

2948932059840 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 2948932059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5897420605440).

2948932059840 is an abundant number, since it is smaller than the sum of its proper divisors (8845909151040).

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

2948932059840 is a wasteful number, since it uses less digits than its factorization.

2948932059840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 2948932059840 in words is "two trillion, nine hundred forty-eight billion, nine hundred thirty-two million, fifty-nine thousand, eight hundred forty".