2613639420 has 384 divisors, whose sum is σ = 9644544000. Its totient is φ = 587284992.

The previous prime is 2613639401. The next prime is 2613639421. The reversal of 2613639420 is 249363162.

2613639420 is a `hidden beast` number, since 2 + 6 + 13 + 639 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×2613639420² = 13662222035555872800, 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 not an unprimeable number, because it can be changed into a prime (2613639421) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 19077592 + ... + 19077728.

It is an arithmetic number, because the mean of its divisors is an integer number (25116000).

Almost surely, 2^2613639420 is an apocalyptic number.

2613639420 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 2613639420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822272000).

2613639420 is an abundant number, since it is smaller than the sum of its proper divisors (7030904580).

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

2613639420 is a wasteful number, since it uses less digits than its factorization.

2613639420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2613639420 is about 51123.7657063718. The cubic root of 2613639420 is about 1377.4691800224.

It can be divided in two parts, 26136 and 39420, that added together give a palindrome (65556).

The spelling of 2613639420 in words is "two billion, six hundred thirteen million, six hundred thirty-nine thousand, four hundred twenty".