2940508068480 has 512 divisors, whose sum is σ = 10831342464000. Its totient is φ = 753272193024.

The previous prime is 2940508068461. The next prime is 2940508068499. The reversal of 2940508068480 is 848608050492.

2940508068480 is a `hidden beast` number, since 2 + 9 + 405 + 0 + 80 + 6 + 84 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2940508068461) and next prime (2940508068499).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50480332 + ... + 50538548.

It is an arithmetic number, because the mean of its divisors is an integer number (21154965750).

Almost surely, 2^{2940508068480} is an apocalyptic number.

2940508068480 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 2940508068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415671232000).

2940508068480 is an abundant number, since it is smaller than the sum of its proper divisors (7890834395520).

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

2940508068480 is a wasteful number, since it uses less digits than its factorization.

2940508068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58361 (or 58343 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2940508068480 in words is "two trillion, nine hundred forty billion, five hundred eight million, sixty-eight thousand, four hundred eighty".