2920067136 has 336 divisors, whose sum is σ = 10295900160. Its totient is φ = 772623360.

The previous prime is 2920067131. The next prime is 2920067149. The reversal of 2920067136 is 6317600292.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2920067136.

It is not an unprimeable number, because it can be changed into a prime (2920067131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3600171 + ... + 3600981.

It is an arithmetic number, because the mean of its divisors is an integer number (30642560).

Almost surely, 2^2920067136 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 2920067136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147950080).

2920067136 is an abundant number, since it is smaller than the sum of its proper divisors (7375833024).

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

2920067136 is a wasteful number, since it uses less digits than its factorization.

2920067136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2920067136 is about 54037.6455445646. The cubic root of 2920067136 is about 1429.3248538364.

The spelling of 2920067136 in words is "two billion, nine hundred twenty million, sixty-seven thousand, one hundred thirty-six".