2794021427340 has 576 divisors, whose sum is σ = 10369758672000. Its totient is φ = 599600332800.

The previous prime is 2794021427261. The next prime is 2794021427357. The reversal of 2794021427340 is 437241204972.

2794021427340 is a `hidden beast` number, since 2 + 7 + 94 + 0 + 214 + 2 + 7 + 340 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111209980 + ... + 111235100.

It is an arithmetic number, because the mean of its divisors is an integer number (18003053250).

Almost surely, 2^{2794021427340} is an apocalyptic number.

2794021427340 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 2794021427340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184879336000).

2794021427340 is an abundant number, since it is smaller than the sum of its proper divisors (7575737244660).

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

2794021427340 is a wasteful number, since it uses less digits than its factorization.

2794021427340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25338 (or 25333 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2794021427340 in words is "two trillion, seven hundred ninety-four billion, twenty-one million, four hundred twenty-seven thousand, three hundred forty".