2513322678240 has 672 divisors, whose sum is σ = 10223082576000. Its totient is φ = 577216834560.

The previous prime is 2513322678227. The next prime is 2513322678241. The reversal of 2513322678240 is 428762233152.

2513322678240 is a `hidden beast` number, since 2 + 5 + 1 + 332 + 2 + 6 + 78 + 240 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513322678241) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24326211 + ... + 24429309.

It is an arithmetic number, because the mean of its divisors is an integer number (15212920500).

Almost surely, 2^{2513322678240} is an apocalyptic number.

2513322678240 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 2513322678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111541288000).

2513322678240 is an abundant number, since it is smaller than the sum of its proper divisors (7709759897760).

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

2513322678240 is a wasteful number, since it uses less digits than its factorization.

2513322678240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103162 (or 103139 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2513322678240 in words is "two trillion, five hundred thirteen billion, three hundred twenty-two million, six hundred seventy-eight thousand, two hundred forty".