2872177920 has 288 divisors, whose sum is σ = 10445984640. Its totient is φ = 746864640.

The previous prime is 2872177907. The next prime is 2872177933. The reversal of 2872177920 is 297712782.

It is an interprime number because it is at equal distance from previous prime (2872177907) and next prime (2872177933).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415947 + ... + 1417973.

It is an arithmetic number, because the mean of its divisors is an integer number (36270780).

Almost surely, 2^2872177920 is an apocalyptic number.

2872177920 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 2872177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222992320).

2872177920 is an abundant number, since it is smaller than the sum of its proper divisors (7573806720).

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

2872177920 is a wasteful number, since it uses less digits than its factorization.

2872177920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 2872177920 is about 53592.7039810458. The cubic root of 2872177920 is about 1421.4680842722.

The spelling of 2872177920 in words is "two billion, eight hundred seventy-two million, one hundred seventy-seven thousand, nine hundred twenty".