2864747520000 has 2240 divisors, whose sum is σ = 11939385173760. Its totient is φ = 674758656000.

The previous prime is 2864747519999. The next prime is 2864747520001. The reversal of 2864747520000 is 257474682.

It is a happy number.

2864747520000 is a `hidden beast` number, since 2 + 86 + 4 + 7 + 47 + 520 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2864747519999) and next prime (2864747520001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2864747520001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54051839974 + ... + 54051840026.

Almost surely, 2^{2864747520000} is an apocalyptic number.

2864747520000 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 2864747520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969692586880).

2864747520000 is an abundant number, since it is smaller than the sum of its proper divisors (9074637653760).

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

2864747520000 is an equidigital number, since it uses as much as digits as its factorization.

2864747520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 2864747520000 in words is "two trillion, eight hundred sixty-four billion, seven hundred forty-seven million, five hundred twenty thousand".