2540353029 has 48 divisors (see below), whose sum is σ = 3686860800. Its totient is φ = 1554983712.

The previous prime is 2540353003. The next prime is 2540353033. The reversal of 2540353029 is 9203530452.

2540353029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2540353029 - 2¹³ = 2540344837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540393029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5303212 + ... + 5303690.

It is an arithmetic number, because the mean of its divisors is an integer number (76809600).

Almost surely, 2^2540353029 is an apocalyptic number.

It is an amenable number.

2540353029 is a deficient number, since it is larger than the sum of its proper divisors (1146507771).

2540353029 is a wasteful number, since it uses less digits than its factorization.

2540353029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 2540353029 is about 50401.9149338594. The cubic root of 2540353029 is about 1364.4721989000.

The spelling of 2540353029 in words is "two billion, five hundred forty million, three hundred fifty-three thousand, twenty-nine".