2861350272 has 192 divisors, whose sum is σ = 9316157760. Its totient is φ = 866972160.

The previous prime is 2861350249. The next prime is 2861350321. The reversal of 2861350272 is 2720531682.

2861350272 is a `hidden beast` number, since 2 + 86 + 1 + 3 + 502 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 337963 + ... + 346325.

It is an arithmetic number, because the mean of its divisors is an integer number (48521655).

Almost surely, 2^2861350272 is an apocalyptic number.

2861350272 is a gapful number since it is divisible by the number (22) 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 2861350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658078880).

2861350272 is an abundant number, since it is smaller than the sum of its proper divisors (6454807488).

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

2861350272 is an equidigital number, since it uses as much as digits as its factorization.

2861350272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8403 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2861350272 is about 53491.5906661972. The cubic root of 2861350272 is about 1419.6795997350.

The spelling of 2861350272 in words is "two billion, eight hundred sixty-one million, three hundred fifty thousand, two hundred seventy-two".