2020742962560 has 768 divisors, whose sum is σ = 8050256323200. Its totient is φ = 457532375040.

The previous prime is 2020742962559. The next prime is 2020742962591. The reversal of 2020742962560 is 652692470202.

2020742962560 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 7 + 4 + 29 + 62 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2984848942 + ... + 2984849618.

Almost surely, 2^{2020742962560} is an apocalyptic number.

2020742962560 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 2020742962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025128161600).

2020742962560 is an abundant number, since it is smaller than the sum of its proper divisors (6029513360640).

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

2020742962560 is a wasteful number, since it uses less digits than its factorization.

2020742962560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2020742962560 in words is "two trillion, twenty billion, seven hundred forty-two million, nine hundred sixty-two thousand, five hundred sixty".