2613738290436 has 945 divisors, whose sum is σ = 8851440606981. Its totient is φ = 674670814272.

The previous prime is 2613738290357. The next prime is 2613738290459. The reversal of 2613738290436 is 6340928373162.

The square root of 2613738290436 is 1616706.

It is a perfect power (a square), and thus also a powerful number.

2613738290436 is a `hidden beast` number, since 2 + 6 + 137 + 382 + 90 + 43 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 386647676100 + 2227090614336 = 621810^2 + 1492344^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 55611452965 + ... + 55611453011.

Almost surely, 2^{2613738290436} is an apocalyptic number.

2613738290436 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2613738290436 is the 1616706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2613738290436

2613738290436 is an abundant number, since it is smaller than the sum of its proper divisors (6237702316545).

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

2613738290436 is an frugal number, since it uses more digits than its factorization.

2613738290436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2613738290436 in words is "two trillion, six hundred thirteen billion, seven hundred thirty-eight million, two hundred ninety thousand, four hundred thirty-six".