2516036105044 has 192 divisors, whose sum is σ = 5739854400000. Its totient is φ = 936677744640.

The previous prime is 2516036105041. The next prime is 2516036105101. The reversal of 2516036105044 is 4405016306152.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 2516036104994 and 2516036105012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516036105041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151114032 + ... + 151130680.

It is an arithmetic number, because the mean of its divisors is an integer number (29895075000).

Almost surely, 2^{2516036105044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2516036105044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869927200000).

2516036105044 is an abundant number, since it is smaller than the sum of its proper divisors (3223818294956).

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

2516036105044 is a wasteful number, since it uses less digits than its factorization.

2516036105044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16946 (or 16944 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 2516036105044 in words is "two trillion, five hundred sixteen billion, thirty-six million, one hundred five thousand, forty-four".