2650567920 has 960 divisors, whose sum is σ = 11969233920. Its totient is φ = 470384640.

The previous prime is 2650567901. The next prime is 2650567943. The reversal of 2650567920 is 297650562.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 191 ways as a sum of consecutive naturals, for example, 44924851 + ... + 44924909.

It is an arithmetic number, because the mean of its divisors is an integer number (12467952).

Almost surely, 2^2650567920 is an apocalyptic number.

2650567920 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 2650567920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984616960).

2650567920 is an abundant number, since it is smaller than the sum of its proper divisors (9318666000).

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

2650567920 is a wasteful number, since it uses less digits than its factorization.

2650567920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 2650567920 is about 51483.6665360967. Note that the first 3 decimals coincide. The cubic root of 2650567920 is about 1383.9263523464.

The spelling of 2650567920 in words is "two billion, six hundred fifty million, five hundred sixty-seven thousand, nine hundred twenty".