2520735680 has 112 divisors (see below), whose sum is σ = 6354897120. Its totient is φ = 950734848.

The previous prime is 2520735677. The next prime is 2520735689. The reversal of 2520735680 is 865370252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520735689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395882 + ... + 402198.

Almost surely, 2^2520735680 is an apocalyptic number.

2520735680 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 2520735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177448560).

2520735680 is an abundant number, since it is smaller than the sum of its proper divisors (3834161440).

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

2520735680 is a wasteful number, since it uses less digits than its factorization.

2520735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 2520735680 is about 50206.9286055222. The cubic root of 2520735680 is about 1360.9508344991.

The spelling of 2520735680 in words is "two billion, five hundred twenty million, seven hundred thirty-five thousand, six hundred eighty".