2738224038564 has 405 divisors, whose sum is σ = 8720007611931. Its totient is φ = 747023951520.

The previous prime is 2738224038547. The next prime is 2738224038581. The reversal of 2738224038564 is 4658304228372.

The square root of 2738224038564 is 1654758.

It is a perfect power (a square), and thus also a powerful number.

2738224038564 is a `hidden beast` number, since 2 + 7 + 3 + 8 + 2 + 2 + 40 + 38 + 564 = 666.

2738224038564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2738224038547) and next prime (2738224038581).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2738224038564.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4795488399 + ... + 4795488969.

Almost surely, 2^{2738224038564} is an apocalyptic number.

2738224038564 is the 1654758-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2738224038564

2738224038564 is an abundant number, since it is smaller than the sum of its proper divisors (5981783573367).

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

2738224038564 is an equidigital number, since it uses as much as digits as its factorization.

2738224038564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 2738224038564 in words is "two trillion, seven hundred thirty-eight billion, two hundred twenty-four million, thirty-eight thousand, five hundred sixty-four".