2400920028 has 180 divisors, whose sum is σ = 7138278840. Its totient is φ = 699420096.

The previous prime is 2400919999. The next prime is 2400920033. The reversal of 2400920028 is 8200290042.

2400920028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2400919983 and 2400920010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1519743 + ... + 1521321.

Almost surely, 2^2400920028 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 2400920028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569139420).

2400920028 is an abundant number, since it is smaller than the sum of its proper divisors (4737358812).

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

2400920028 is a wasteful number, since it uses less digits than its factorization.

2400920028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2400920028 is about 48999.1839523884. The cubic root of 2400920028 is about 1339.0369608240.

The spelling of 2400920028 in words is "two billion, four hundred million, nine hundred twenty thousand, twenty-eight".