2920135680 has 528 divisors, whose sum is σ = 12630219264. Its totient is φ = 606044160.

The previous prime is 2920135651. The next prime is 2920135693. The reversal of 2920135680 is 865310292.

2920135680 is a `hidden beast` number, since 2 + 92 + 0 + 1 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3547749 + ... + 3548571.

Almost surely, 2^2920135680 is an apocalyptic number.

2920135680 is a gapful number since it is divisible by the number (20) 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 2920135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315109632).

2920135680 is an abundant number, since it is smaller than the sum of its proper divisors (9710083584).

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

2920135680 is a wasteful number, since it uses less digits than its factorization.

2920135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2920135680 is about 54038.2797653663. The cubic root of 2920135680 is about 1429.3360374692.

The spelling of 2920135680 in words is "two billion, nine hundred twenty million, one hundred thirty-five thousand, six hundred eighty".