2740910218956 has 576 divisors, whose sum is σ = 9054801100800. Its totient is φ = 693890426880.

The previous prime is 2740910218913. The next prime is 2740910218967. The reversal of 2740910218956 is 6598120190472.

It is a happy number.

2740910218956 is a `hidden beast` number, since 2 + 7 + 409 + 1 + 0 + 2 + 189 + 56 = 666.

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, 631980820 + ... + 631985156.

It is an arithmetic number, because the mean of its divisors is an integer number (15720140800).

Almost surely, 2^{2740910218956} is an apocalyptic number.

2740910218956 is a gapful number since it is divisible by the number (26) 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 2740910218956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527400550400).

2740910218956 is an abundant number, since it is smaller than the sum of its proper divisors (6313890881844).

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

2740910218956 is a wasteful number, since it uses less digits than its factorization.

2740910218956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2740910218956 in words is "two trillion, seven hundred forty billion, nine hundred ten million, two hundred eighteen thousand, nine hundred fifty-six".