2076156144 has 160 divisors (see below), whose sum is σ = 6642432000. Its totient is φ = 617020416.

The previous prime is 2076156109. The next prime is 2076156151. The reversal of 2076156144 is 4416516702.

2076156144 is a `hidden beast` number, since 20 + 7 + 6 + 15 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2076156099 and 2076156108.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 132097 + ... + 146975.

It is an arithmetic number, because the mean of its divisors is an integer number (41515200).

Almost surely, 2^2076156144 is an apocalyptic number.

2076156144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2076156144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321216000).

2076156144 is an abundant number, since it is smaller than the sum of its proper divisors (4566275856).

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

2076156144 is a wasteful number, since it uses less digits than its factorization.

2076156144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14932 (or 14920 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2076156144 is about 45564.8564575814. The cubic root of 2076156144 is about 1275.7140470914.

The spelling of 2076156144 in words is "two billion, seventy-six million, one hundred fifty-six thousand, one hundred forty-four".