2542475538 has 48 divisors (see below), whose sum is σ = 5813402400. Its totient is φ = 800841600.

The previous prime is 2542475513. The next prime is 2542475567. The reversal of 2542475538 is 8355742452.

2542475538 is a `hidden beast` number, since 2 + 5 + 42 + 4 + 75 + 538 = 666.

It is a super-2 number, since 2×2542475538² = 12928363722656778888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2542475493 and 2542475502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127873 + ... + 146411.

It is an arithmetic number, because the mean of its divisors is an integer number (121112550).

Almost surely, 2^2542475538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542475538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906701200).

2542475538 is an abundant number, since it is smaller than the sum of its proper divisors (3270926862).

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

2542475538 is a wasteful number, since it uses less digits than its factorization.

2542475538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18967 (or 18964 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The square root of 2542475538 is about 50422.9663744608. The cubic root of 2542475538 is about 1364.8521065063.

The spelling of 2542475538 in words is "two billion, five hundred forty-two million, four hundred seventy-five thousand, five hundred thirty-eight".