2861511045120 has 3328 divisors, whose sum is σ = 13686020812800. Its totient is φ = 550376570880.

The previous prime is 2861511045109. The next prime is 2861511045143. The reversal of 2861511045120 is 215401151682.

2861511045120 is a `hidden beast` number, since 2 + 8 + 615 + 1 + 10 + 4 + 5 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-2 number, since 2×2861511045120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39198781404 + ... + 39198781476.

Almost surely, 2^{2861511045120} is an apocalyptic number.

2861511045120 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 2861511045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6843010406400).

2861511045120 is an abundant number, since it is smaller than the sum of its proper divisors (10824509767680).

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

2861511045120 is a wasteful number, since it uses less digits than its factorization.

2861511045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 2861511045120 in words is "two trillion, eight hundred sixty-one billion, five hundred eleven million, forty-five thousand, one hundred twenty".