2677002434106 has 512 divisors, whose sum is σ = 7984019570688. Its totient is φ = 575213322240.

The previous prime is 2677002434077. The next prime is 2677002434149. The reversal of 2677002434106 is 6014342007762.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 177547840 + ... + 177562916.

It is an arithmetic number, because the mean of its divisors is an integer number (15593788224).

Almost surely, 2^{2677002434106} is an apocalyptic number.

2677002434106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2677002434106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992009785344).

2677002434106 is an abundant number, since it is smaller than the sum of its proper divisors (5307017136582).

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

2677002434106 is a wasteful number, since it uses less digits than its factorization.

2677002434106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15214.

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 2677002434106 in words is "two trillion, six hundred seventy-seven billion, two million, four hundred thirty-four thousand, one hundred six".