2749780039680 has 576 divisors, whose sum is σ = 10125486090720. Its totient is φ = 687772532736.

The previous prime is 2749780039679. The next prime is 2749780039729. The reversal of 2749780039680 is 869300879472.

2749780039680 is a `hidden beast` number, since 2 + 7 + 4 + 97 + 80 + 0 + 396 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2749780039680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480980182 + ... + 480985898.

Almost surely, 2^{2749780039680} is an apocalyptic number.

2749780039680 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 2749780039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062743045360).

2749780039680 is an abundant number, since it is smaller than the sum of its proper divisors (7375706051040).

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

2749780039680 is a wasteful number, since it uses less digits than its factorization.

2749780039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6074 (or 6051 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 2749780039680 in words is "two trillion, seven hundred forty-nine billion, seven hundred eighty million, thirty-nine thousand, six hundred eighty".