2940235735680 has 256 divisors, whose sum is σ = 10428447196800. Its totient is φ = 782925004800.

The previous prime is 2940235735673. The next prime is 2940235735733. The reversal of 2940235735680 is 865375320492.

2940235735680 is a `hidden beast` number, since 2 + 9 + 4 + 0 + 2 + 3 + 5 + 73 + 568 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 11817360 + ... + 12063600.

Almost surely, 2^{2940235735680} is an apocalyptic number.

2940235735680 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 2940235735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214223598400).

2940235735680 is an abundant number, since it is smaller than the sum of its proper divisors (7488211461120).

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

2940235735680 is a wasteful number, since it uses less digits than its factorization.

2940235735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246960 (or 246942 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2940235735680 in words is "two trillion, nine hundred forty billion, two hundred thirty-five million, seven hundred thirty-five thousand, six hundred eighty".