2861015040 has 448 divisors, whose sum is σ = 11009376000. Its totient is φ = 700710912.

The previous prime is 2861015023. The next prime is 2861015189. The reversal of 2861015040 is 405101682.

2861015040 is a `hidden beast` number, since 2 + 8 + 610 + 1 + 5 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2861014995 and 2861015013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14376861 + ... + 14377059.

It is an arithmetic number, because the mean of its divisors is an integer number (24574500).

Almost surely, 2^2861015040 is an apocalyptic number.

2861015040 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 2861015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504688000).

2861015040 is an abundant number, since it is smaller than the sum of its proper divisors (8148360960).

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

2861015040 is a wasteful number, since it uses less digits than its factorization.

2861015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2861015040 is about 53488.4570725311. The cubic root of 2861015040 is about 1419.6241549771.

The spelling of 2861015040 in words is "two billion, eight hundred sixty-one million, fifteen thousand, forty".