2749904494848 has 1440 divisors, whose sum is σ = 10105065062400. Its totient is φ = 727206543360.

The previous prime is 2749904494847. The next prime is 2749904494859. The reversal of 2749904494848 is 8484944099472.

2749904494848 is a `hidden beast` number, since 2 + 7 + 4 + 9 + 90 + 4 + 494 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2749904494847) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13818615453 + ... + 13818615651.

Almost surely, 2^{2749904494848} is an apocalyptic number.

2749904494848 is a gapful number since it is divisible by the number (28) 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 2749904494848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052532531200).

2749904494848 is an abundant number, since it is smaller than the sum of its proper divisors (7355160567552).

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

2749904494848 is a wasteful number, since it uses less digits than its factorization.

2749904494848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 2749904494848 in words is "two trillion, seven hundred forty-nine billion, nine hundred four million, four hundred ninety-four thousand, eight hundred forty-eight".