2686454774640 has 1920 divisors, whose sum is σ = 12257348812800. Its totient is φ = 511409479680.

The previous prime is 2686454774617. The next prime is 2686454774693. The reversal of 2686454774640 is 464774546862.

2686454774640 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 4 + 547 + 7 + 46 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2585615241 + ... + 2585616279.

It is an arithmetic number, because the mean of its divisors is an integer number (6384035840).

Almost surely, 2^{2686454774640} is an apocalyptic number.

2686454774640 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 2686454774640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128674406400).

2686454774640 is an abundant number, since it is smaller than the sum of its proper divisors (9570894038160).

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

2686454774640 is a wasteful number, since it uses less digits than its factorization.

2686454774640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 2686454774640 in words is "two trillion, six hundred eighty-six billion, four hundred fifty-four million, seven hundred seventy-four thousand, six hundred forty".