2513821440 has 288 divisors, whose sum is σ = 8886298176. Its totient is φ = 601620480.

The previous prime is 2513821423. The next prime is 2513821447. The reversal of 2513821440 is 441283152.

2513821440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2513821398 and 2513821407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513821447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1846360 + ... + 1847720.

It is an arithmetic number, because the mean of its divisors is an integer number (30855202).

Almost surely, 2^2513821440 is an apocalyptic number.

2513821440 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 2513821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443149088).

2513821440 is an abundant number, since it is smaller than the sum of its proper divisors (6372476736).

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

2513821440 is a wasteful number, since it uses less digits than its factorization.

2513821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2513821440 is about 50138.0238940467. The cubic root of 2513821440 is about 1359.7053571624.

The spelling of 2513821440 in words is "two billion, five hundred thirteen million, eight hundred twenty-one thousand, four hundred forty".