2872811340 has 384 divisors, whose sum is σ = 10741248000. Its totient is φ = 623572992.

The previous prime is 2872811269. The next prime is 2872811353. The reversal of 2872811340 is 431182782.

2872811340 is a `hidden beast` number, since 287 + 28 + 11 + 340 = 666.

It is a super-3 number, since 3×2872811340³ (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2872811295 and 2872811304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8002081 + ... + 8002439.

It is an arithmetic number, because the mean of its divisors is an integer number (27972000).

Almost surely, 2^2872811340 is an apocalyptic number.

2872811340 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 2872811340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370624000).

2872811340 is an abundant number, since it is smaller than the sum of its proper divisors (7868436660).

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

2872811340 is a wasteful number, since it uses less digits than its factorization.

2872811340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2872811340 is about 53598.6132283290. The cubic root of 2872811340 is about 1421.5725717794.

The spelling of 2872811340 in words is "two billion, eight hundred seventy-two million, eight hundred eleven thousand, three hundred forty".