2615041652106 has 256 divisors, whose sum is σ = 6040171855872. Its totient is φ = 749032704000.

The previous prime is 2615041652081. The next prime is 2615041652203. The reversal of 2615041652106 is 6012561405162.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2383811350 + ... + 2383812446.

It is an arithmetic number, because the mean of its divisors is an integer number (23594421312).

Almost surely, 2^{2615041652106} is an apocalyptic number.

2615041652106 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 2615041652106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020085927936).

2615041652106 is an abundant number, since it is smaller than the sum of its proper divisors (3425130203766).

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

2615041652106 is a wasteful number, since it uses less digits than its factorization.

2615041652106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517.

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 2615041652106 in words is "two trillion, six hundred fifteen billion, forty-one million, six hundred fifty-two thousand, one hundred six".