2691048407040 has 1824 divisors, whose sum is σ = 11871803833344. Its totient is φ = 570760888320.

The previous prime is 2691048407027. The next prime is 2691048407119. The reversal of 2691048407040 is 407048401962.

2691048407040 is a `hidden beast` number, since 2 + 69 + 1 + 0 + 484 + 0 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37902090205 + ... + 37902090275.

Almost surely, 2^{2691048407040} is an apocalyptic number.

2691048407040 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 2691048407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935901916672).

2691048407040 is an abundant number, since it is smaller than the sum of its proper divisors (9180755426304).

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

2691048407040 is an frugal number, since it uses more digits than its factorization.

2691048407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2691048407040 in words is "two trillion, six hundred ninety-one billion, forty-eight million, four hundred seven thousand, forty".