2513046779040 has 576 divisors, whose sum is σ = 9759713338368. Its totient is φ = 540094464000.

The previous prime is 2513046779017. The next prime is 2513046779101. The reversal of 2513046779040 is 409776403152.

It is a super-3 number, since 3×2513046779040³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 520189425 + ... + 520194255.

It is an arithmetic number, because the mean of its divisors is an integer number (16943946768).

Almost surely, 2^{2513046779040} is an apocalyptic number.

2513046779040 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 2513046779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879856669184).

2513046779040 is an abundant number, since it is smaller than the sum of its proper divisors (7246666559328).

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

2513046779040 is a wasteful number, since it uses less digits than its factorization.

2513046779040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6181 (or 6166 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 2513046779040 in words is "two trillion, five hundred thirteen billion, forty-six million, seven hundred seventy-nine thousand, forty".