2542005828 has 120 divisors (see below), whose sum is σ = 6889186304. Its totient is φ = 816480000.

The previous prime is 2542005803. The next prime is 2542005833. The reversal of 2542005828 is 8285002452.

2542005828 is a `hidden beast` number, since 2 + 54 + 20 + 0 + 582 + 8 = 666.

2542005828 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2542005792 and 2542005801.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3384453 + ... + 3385203.

Almost surely, 2^2542005828 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 2542005828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444593152).

2542005828 is an abundant number, since it is smaller than the sum of its proper divisors (4347180476).

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

2542005828 is a wasteful number, since it uses less digits than its factorization.

2542005828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2542005828 is about 50418.3084603202. The cubic root of 2542005828 is about 1364.7680513985.

The spelling of 2542005828 in words is "two billion, five hundred forty-two million, five thousand, eight hundred twenty-eight".