2819752152 has 128 divisors (see below), whose sum is σ = 8503411200. Its totient is φ = 761177088.

The previous prime is 2819752127. The next prime is 2819752181. The reversal of 2819752152 is 2512579182.

It is a super-2 number, since 2×2819752152² = 15902004397417262208, which contains 22 as substring.

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

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, 1457778 + ... + 1459710.

It is an arithmetic number, because the mean of its divisors is an integer number (66432900).

Almost surely, 2^2819752152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2819752152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251705600).

2819752152 is an abundant number, since it is smaller than the sum of its proper divisors (5683659048).

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

2819752152 is a wasteful number, since it uses less digits than its factorization.

2819752152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2421 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The square root of 2819752152 is about 53101.3385142032. The cubic root of 2819752152 is about 1412.7662529075.

The spelling of 2819752152 in words is "two billion, eight hundred nineteen million, seven hundred fifty-two thousand, one hundred fifty-two".