2820537720 has 512 divisors, whose sum is σ = 12628224000. Its totient is φ = 540794880.

The previous prime is 2820537689. The next prime is 2820537721. The reversal of 2820537720 is 277350282.

It is a happy number.

2820537720 is a `hidden beast` number, since 282 + 0 + 5 + 377 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820537721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1079776 + ... + 1082384.

It is an arithmetic number, because the mean of its divisors is an integer number (24664500).

Almost surely, 2^2820537720 is an apocalyptic number.

2820537720 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 2820537720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314112000).

2820537720 is an abundant number, since it is smaller than the sum of its proper divisors (9807686280).

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

2820537720 is a wasteful number, since it uses less digits than its factorization.

2820537720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2820537720 is about 53108.7348747831. The cubic root of 2820537720 is about 1412.8974371218.

The spelling of 2820537720 in words is "two billion, eight hundred twenty million, five hundred thirty-seven thousand, seven hundred twenty".