2542155040 has 96 divisors (see below), whose sum is σ = 6291686016. Its totient is φ = 968816640.

The previous prime is 2542155037. The next prime is 2542155043. The reversal of 2542155040 is 405512452.

2542155040 = T₃₉ + T₄₀ + ... + T₂₄₇₉.

It is an interprime number because it is at equal distance from previous prime (2542155037) and next prime (2542155043).

It is not an unprimeable number, because it can be changed into a prime (2542155043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040220 + ... + 1042660.

It is an arithmetic number, because the mean of its divisors is an integer number (65538396).

Almost surely, 2^2542155040 is an apocalyptic number.

2542155040 is a gapful number since it is divisible by the number (20) 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 2542155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145843008).

2542155040 is an abundant number, since it is smaller than the sum of its proper divisors (3749530976).

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

2542155040 is a wasteful number, since it uses less digits than its factorization.

2542155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 2542155040 is about 50419.7881788490. The cubic root of 2542155040 is about 1364.7947541679.

Adding to 2542155040 its reverse (405512452), we get a palindrome (2947667492).

The spelling of 2542155040 in words is "two billion, five hundred forty-two million, one hundred fifty-five thousand, forty".