2890124544 has 144 divisors (see below), whose sum is σ = 7989456384. Its totient is φ = 926515200.

The previous prime is 2890124539. The next prime is 2890124569. The reversal of 2890124544 is 4454210982.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5547004 + ... + 5547524.

It is an arithmetic number, because the mean of its divisors is an integer number (55482336).

Almost surely, 2^2890124544 is an apocalyptic number.

2890124544 is a gapful number since it is divisible by the number (24) 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 2890124544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994728192).

2890124544 is an abundant number, since it is smaller than the sum of its proper divisors (5099331840).

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

2890124544 is a wasteful number, since it uses less digits than its factorization.

2890124544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2890124544 is about 53759.8785712914. The cubic root of 2890124544 is about 1424.4225905654.

The spelling of 2890124544 in words is "two billion, eight hundred ninety million, one hundred twenty-four thousand, five hundred forty-four".