2638219602816 has 576 divisors, whose sum is σ = 8912387577600. Its totient is φ = 746888325120.

The previous prime is 2638219602797. The next prime is 2638219602857. The reversal of 2638219602816 is 6182069128362.

2638219602816 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 2 + 19 + 602 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2638219602816² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3817973031 + ... + 3817973721.

It is an arithmetic number, because the mean of its divisors is an integer number (15472895100).

Almost surely, 2^{2638219602816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2638219602816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456193788800).

2638219602816 is an abundant number, since it is smaller than the sum of its proper divisors (6274167974784).

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

2638219602816 is a wasteful number, since it uses less digits than its factorization.

2638219602816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2638219602816 in words is "two trillion, six hundred thirty-eight billion, two hundred nineteen million, six hundred two thousand, eight hundred sixteen".