2604615019020 has 288 divisors, whose sum is σ = 9114209814528. Its totient is φ = 589762446336.

The previous prime is 2604615018977. The next prime is 2604615019021. The reversal of 2604615019020 is 209105164062.

2604615019020 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 61 + 501 + 90 + 2 + 0 = 666.

2604615019020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2604615019021) 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, 84050449 + ... + 84081431.

It is an arithmetic number, because the mean of its divisors is an integer number (31646561856).

Almost surely, 2^{2604615019020} is an apocalyptic number.

2604615019020 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 2604615019020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557104907264).

2604615019020 is an abundant number, since it is smaller than the sum of its proper divisors (6509594795508).

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

2604615019020 is a wasteful number, since it uses less digits than its factorization.

2604615019020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31629 (or 31624 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2604615019020 in words is "two trillion, six hundred four billion, six hundred fifteen million, nineteen thousand, twenty".