2793425003460 has 864 divisors, whose sum is σ = 11132917286400. Its totient is φ = 562307429376.

The previous prime is 2793425003389. The next prime is 2793425003489. The reversal of 2793425003460 is 643005243972.

2793425003460 is a `hidden beast` number, since 2 + 79 + 3 + 42 + 500 + 34 + 6 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7181040946 + ... + 7181041334.

Almost surely, 2^{2793425003460} is an apocalyptic number.

2793425003460 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 2793425003460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566458643200).

2793425003460 is an abundant number, since it is smaller than the sum of its proper divisors (8339492282940).

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

2793425003460 is a wasteful number, since it uses less digits than its factorization.

2793425003460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 2793425003460 in words is "two trillion, seven hundred ninety-three billion, four hundred twenty-five million, three thousand, four hundred sixty".