2020951296 has 756 divisors, whose sum is σ = 8022624372. Its totient is φ = 501645312.

The previous prime is 2020951291. The next prime is 2020951297. The reversal of 2020951296 is 6921590202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 914457600 + 1106493696 = 30240^2 + 33264^2 .

It is a tau number, because it is divible by the number of its divisors (756).

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 2020951296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020951291) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 118879480 + ... + 118879496.

It is an arithmetic number, because the mean of its divisors is an integer number (10611937).

Almost surely, 2^2020951296 is an apocalyptic number.

2020951296 is a gapful number since it is divisible by the number (26) 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 2020951296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011312186).

2020951296 is an abundant number, since it is smaller than the sum of its proper divisors (6001673076).

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

2020951296 is an equidigital number, since it uses as much as digits as its factorization.

2020951296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2020951296 is about 44954.9918918912. The cubic root of 2020951296 is about 1264.3052726321.

The spelling of 2020951296 in words is "two billion, twenty million, nine hundred fifty-one thousand, two hundred ninety-six".