2794475427840 has 1152 divisors, whose sum is σ = 10982879631360. Its totient is φ = 678415564800.

The previous prime is 2794475427827. The next prime is 2794475427847. The reversal of 2794475427840 is 487245744972.

2794475427840 is a `hidden beast` number, since 2 + 7 + 9 + 4 + 4 + 7 + 542 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2794475427847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1311343575 + ... + 1311345705.

It is an arithmetic number, because the mean of its divisors is an integer number (9533749680).

Almost surely, 2^{2794475427840} is an apocalyptic number.

2794475427840 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 2794475427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491439815680).

2794475427840 is an abundant number, since it is smaller than the sum of its proper divisors (8188404203520).

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

2794475427840 is a wasteful number, since it uses less digits than its factorization.

2794475427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 2794475427840 in words is "two trillion, seven hundred ninety-four billion, four hundred seventy-five million, four hundred twenty-seven thousand, eight hundred forty".