2872760352 has 384 divisors, whose sum is σ = 10007359488. Its totient is φ = 699494400.

The previous prime is 2872760339. The next prime is 2872760357. The reversal of 2872760352 is 2530672782.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2872760357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10370838 + ... + 10371114.

It is an arithmetic number, because the mean of its divisors is an integer number (26060832).

Almost surely, 2^2872760352 is an apocalyptic number.

2872760352 is a gapful number since it is divisible by the number (22) 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 2872760352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003679744).

2872760352 is an abundant number, since it is smaller than the sum of its proper divisors (7134599136).

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

2872760352 is a wasteful number, since it uses less digits than its factorization.

2872760352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 2872760352 is about 53598.1375795839. The cubic root of 2872760352 is about 1421.5641614845.

The spelling of 2872760352 in words is "two billion, eight hundred seventy-two million, seven hundred sixty thousand, three hundred fifty-two".