2606789226240 has 1944 divisors, whose sum is σ = 10786067444880. Its totient is φ = 599824465920.

The previous prime is 2606789226203. The next prime is 2606789226277. The reversal of 2606789226240 is 426229876062.

2606789226240 is a `hidden beast` number, since 2 + 6 + 0 + 6 + 7 + 8 + 9 + 2 + 2 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2606789226203) and next prime (2606789226277).

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-3 number, since 3×2606789226240³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 84089975025 + ... + 84089975055.

Almost surely, 2^{2606789226240} is an apocalyptic number.

2606789226240 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 2606789226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393033722440).

2606789226240 is an abundant number, since it is smaller than the sum of its proper divisors (8179278218640).

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

2606789226240 is an frugal number, since it uses more digits than its factorization.

2606789226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 2606789226240 in words is "two trillion, six hundred six billion, seven hundred eighty-nine million, two hundred twenty-six thousand, two hundred forty".