2619793020 has 96 divisors (see below), whose sum is σ = 7960296960. Its totient is φ = 639924480.

The previous prime is 2619792991. The next prime is 2619793027. The reversal of 2619793020 is 203979162.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2619793020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2619793027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89361 + ... + 114999.

It is an arithmetic number, because the mean of its divisors is an integer number (82919760).

Almost surely, 2^2619793020 is an apocalyptic number.

2619793020 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 2619793020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980148480).

2619793020 is an abundant number, since it is smaller than the sum of its proper divisors (5340503940).

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

2619793020 is a wasteful number, since it uses less digits than its factorization.

2619793020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25795 (or 25793 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 2619793020 is about 51183.9136838910. The cubic root of 2619793020 is about 1378.5493788496.

The spelling of 2619793020 in words is "two billion, six hundred nineteen million, seven hundred ninety-three thousand, twenty".