2741188208640 has 384 divisors, whose sum is σ = 10028673607680. Its totient is φ = 626169544704.

The previous prime is 2741188208639. The next prime is 2741188208663. The reversal of 2741188208640 is 468028811472.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2741188208640² (a number of 26 digits) contains 22 as substring.

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, 487492869 + ... + 487498491.

It is an arithmetic number, because the mean of its divisors is an integer number (26116337520).

Almost surely, 2^{2741188208640} is an apocalyptic number.

2741188208640 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 2741188208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014336803840).

2741188208640 is an abundant number, since it is smaller than the sum of its proper divisors (7287485399040).

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

2741188208640 is a wasteful number, since it uses less digits than its factorization.

2741188208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7927 (or 7907 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 2741188208640 in words is "two trillion, seven hundred forty-one billion, one hundred eighty-eight million, two hundred eight thousand, six hundred forty".