2861941040640 has 1600 divisors, whose sum is σ = 11572969782528. Its totient is φ = 670054809600.

The previous prime is 2861941040617. The next prime is 2861941040669. The reversal of 2861941040640 is 460401491682.

2861941040640 is a `hidden beast` number, since 2 + 8 + 6 + 194 + 10 + 406 + 40 = 666.

It is a super-3 number, since 3×2861941040640³ (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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9322283367 + ... + 9322283673.

Almost surely, 2^{2861941040640} is an apocalyptic number.

2861941040640 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 2861941040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786484891264).

2861941040640 is an abundant number, since it is smaller than the sum of its proper divisors (8711028741888).

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

2861941040640 is a wasteful number, since it uses less digits than its factorization.

2861941040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2861941040640 in words is "two trillion, eight hundred sixty-one billion, nine hundred forty-one million, forty thousand, six hundred forty".