2738414365680 has 1280 divisors, whose sum is σ = 10784662880256. Its totient is φ = 561134407680.

The previous prime is 2738414365669. The next prime is 2738414365681. The reversal of 2738414365680 is 865634148372.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2738414365680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738414365681) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7149906769 + ... + 7149907151.

Almost surely, 2^{2738414365680} is an apocalyptic number.

2738414365680 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 2738414365680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392331440128).

2738414365680 is an abundant number, since it is smaller than the sum of its proper divisors (8046248514576).

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

2738414365680 is a wasteful number, since it uses less digits than its factorization.

2738414365680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 2738414365680 in words is "two trillion, seven hundred thirty-eight billion, four hundred fourteen million, three hundred sixty-five thousand, six hundred eighty".