2861974272 has 288 divisors, whose sum is σ = 8500423680. Its totient is φ = 851558400.

The previous prime is 2861974253. The next prime is 2861974273. The reversal of 2861974272 is 2724791682.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2861974273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18953397 + ... + 18953547.

It is an arithmetic number, because the mean of its divisors is an integer number (29515360).

Almost surely, 2^2861974272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2861974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250211840).

2861974272 is an abundant number, since it is smaller than the sum of its proper divisors (5638449408).

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

2861974272 is a wasteful number, since it uses less digits than its factorization.

2861974272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 2861974272 is about 53497.4230407409. The cubic root of 2861974272 is about 1419.7827929359.

The spelling of 2861974272 in words is "two billion, eight hundred sixty-one million, nine hundred seventy-four thousand, two hundred seventy-two".