2613209409720 has 1152 divisors, whose sum is σ = 10940627880000. Its totient is φ = 535970856960.

The previous prime is 2613209409719. The next prime is 2613209409737. The reversal of 2613209409720 is 279049023162.

2613209409720 is a `hidden beast` number, since 2 + 6 + 13 + 209 + 409 + 7 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1244977231 + ... + 1244979329.

Almost surely, 2^{2613209409720} is an apocalyptic number.

2613209409720 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 2613209409720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470313940000).

2613209409720 is an abundant number, since it is smaller than the sum of its proper divisors (8327418470280).

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

2613209409720 is a wasteful number, since it uses less digits than its factorization.

2613209409720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 2613209409720 in words is "two trillion, six hundred thirteen billion, two hundred nine million, four hundred nine thousand, seven hundred twenty".