2804007133620 has 1440 divisors, whose sum is σ = 11693003857920. Its totient is φ = 555532992000.

The previous prime is 2804007133579. The next prime is 2804007133643. The reversal of 2804007133620 is 263317004082.

It is a happy number.

2804007133620 is a `hidden beast` number, since 28 + 0 + 4 + 0 + 0 + 7 + 1 + 3 + 3 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1921868451 + ... + 1921869909.

It is an arithmetic number, because the mean of its divisors is an integer number (8120141568).

Almost surely, 2^{2804007133620} is an apocalyptic number.

2804007133620 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 2804007133620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846501928960).

2804007133620 is an abundant number, since it is smaller than the sum of its proper divisors (8888996724300).

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

2804007133620 is a wasteful number, since it uses less digits than its factorization.

2804007133620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2804007133620 in words is "two trillion, eight hundred four billion, seven million, one hundred thirty-three thousand, six hundred twenty".