2520741440 has 168 divisors, whose sum is σ = 7094500416. Its totient is φ = 835660800.

The previous prime is 2520741437. The next prime is 2520741467. The reversal of 2520741440 is 441470252.

2520741440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2152055 + ... + 2153225.

Almost surely, 2^2520741440 is an apocalyptic number.

2520741440 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 2520741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547250208).

2520741440 is an abundant number, since it is smaller than the sum of its proper divisors (4573758976).

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

2520741440 is a wasteful number, since it uses less digits than its factorization.

2520741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 29.

The square root of 2520741440 is about 50206.9859680901. The cubic root of 2520741440 is about 1360.9518711106.

The spelling of 2520741440 in words is "two billion, five hundred twenty million, seven hundred forty-one thousand, four hundred forty".