2635142540 has 24 divisors (see below), whose sum is σ = 5573616720. Its totient is φ = 1046472768.

The previous prime is 2635142519. The next prime is 2635142581. The reversal of 2635142540 is 452415362.

It is a super-2 number, since 2×2635142540² = 13887952412235303200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2635142497 and 2635142506.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 471167 + ... + 476726.

It is an arithmetic number, because the mean of its divisors is an integer number (232234030).

Almost surely, 2^2635142540 is an apocalyptic number.

2635142540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2635142540 is an abundant number, since it is smaller than the sum of its proper divisors (2938474180).

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

2635142540 is a wasteful number, since it uses less digits than its factorization.

2635142540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948041 (or 948039 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2635142540 is about 51333.6394579617. The cubic root of 2635142540 is about 1381.2364714385.

The spelling of 2635142540 in words is "two billion, six hundred thirty-five million, one hundred forty-two thousand, five hundred forty".