2872620540 has 144 divisors (see below), whose sum is σ = 8892243360. Its totient is φ = 750435840.

The previous prime is 2872620533. The next prime is 2872620551. The reversal of 2872620540 is 450262782.

2872620540 is a `hidden beast` number, since 28 + 7 + 2 + 620 + 5 + 4 + 0 = 666.

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 = 2872620495 and 2872620504.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4358731 + ... + 4359389.

It is an arithmetic number, because the mean of its divisors is an integer number (61751690).

Almost surely, 2^2872620540 is an apocalyptic number.

2872620540 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 2872620540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446121680).

2872620540 is an abundant number, since it is smaller than the sum of its proper divisors (6019622820).

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

2872620540 is a wasteful number, since it uses less digits than its factorization.

2872620540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2872620540 is about 53596.8333019778. The cubic root of 2872620540 is about 1421.5410994665.

The spelling of 2872620540 in words is "two billion, eight hundred seventy-two million, six hundred twenty thousand, five hundred forty".