2638412820 has 72 divisors (see below), whose sum is σ = 8007507144. Its totient is φ = 703196928.

The previous prime is 2638412813. The next prime is 2638412831. The reversal of 2638412820 is 282148362.

2638412820 is a `hidden beast` number, since 2 + 638 + 4 + 12 + 8 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 300883716 + 2337529104 = 17346^2 + 48348^2 .

It is a super-3 number, since 3×2638412820³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 529782 + ... + 534738.

It is an arithmetic number, because the mean of its divisors is an integer number (111215377).

Almost surely, 2^2638412820 is an apocalyptic number.

2638412820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2638412820 is an abundant number, since it is smaller than the sum of its proper divisors (5369094324).

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

2638412820 is a wasteful number, since it uses less digits than its factorization.

2638412820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7929 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2638412820 is about 51365.4827681002. The cubic root of 2638412820 is about 1381.8076186210.

It can be divided in two parts, 26384 and 12820, that added together give a square (39204 = 198²).

The spelling of 2638412820 in words is "two billion, six hundred thirty-eight million, four hundred twelve thousand, eight hundred twenty".