2534011040 has 192 divisors, whose sum is σ = 6715965312. Its totient is φ = 903260160.

The previous prime is 2534011013. The next prime is 2534011043. The reversal of 2534011040 is 401104352.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534011043) 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 31 ways as a sum of consecutive naturals, for example, 15545999 + ... + 15546161.

It is an arithmetic number, because the mean of its divisors is an integer number (34978986).

Almost surely, 2^2534011040 is an apocalyptic number.

2534011040 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 2534011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357982656).

2534011040 is an abundant number, since it is smaller than the sum of its proper divisors (4181954272).

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

2534011040 is a wasteful number, since it uses less digits than its factorization.

2534011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2534011040 is about 50338.9614513450. The cubic root of 2534011040 is about 1363.3357848260.

Adding to 2534011040 its reverse (401104352), we get a palindrome (2935115392).

The spelling of 2534011040 in words is "two billion, five hundred thirty-four million, eleven thousand, forty".