2619424080 has 240 divisors, whose sum is σ = 10827223680. Its totient is φ = 552655872.

The previous prime is 2619424063. The next prime is 2619424091. The reversal of 2619424080 is 804249162.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2619424080² = 13722765021767692800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45531 + ... + 85509.

It is an arithmetic number, because the mean of its divisors is an integer number (45113432).

Almost surely, 2^2619424080 is an apocalyptic number.

2619424080 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 2619424080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413611840).

2619424080 is an abundant number, since it is smaller than the sum of its proper divisors (8207799600).

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

2619424080 is a wasteful number, since it uses less digits than its factorization.

2619424080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40018 (or 40009 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2619424080 is about 51180.3094949610. The cubic root of 2619424080 is about 1378.4846630647.

The spelling of 2619424080 in words is "two billion, six hundred nineteen million, four hundred twenty-four thousand, eighty".