2681737408728 has 144 divisors (see below), whose sum is σ = 8449521897960. Its totient is φ = 766148947200.

The previous prime is 2681737408709. The next prime is 2681737408747. The reversal of 2681737408728 is 8278047371862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2681737408709) and next prime (2681737408747).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60980668 + ... + 61024628.

Almost surely, 2^{2681737408728} is an apocalyptic number.

2681737408728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2681737408728 is an abundant number, since it is smaller than the sum of its proper divisors (5767784489232).

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

2681737408728 is a wasteful number, since it uses less digits than its factorization.

2681737408728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61278 (or 61264 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 2681737408728 in words is "two trillion, six hundred eighty-one billion, seven hundred thirty-seven million, four hundred eight thousand, seven hundred twenty-eight".