2507642040 has 64 divisors (see below), whose sum is σ = 7918876800. Its totient is φ = 633508992.

The previous prime is 2507642023. The next prime is 2507642047. The reversal of 2507642040 is 402467052.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2507641989 and 2507642007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2507642047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547642 + ... + 552201.

It is an arithmetic number, because the mean of its divisors is an integer number (123732450).

Almost surely, 2^2507642040 is an apocalyptic number.

2507642040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2507642040 is an abundant number, since it is smaller than the sum of its proper divisors (5411234760).

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

2507642040 is a wasteful number, since it uses less digits than its factorization.

2507642040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099876 (or 1099872 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2507642040 is about 50076.3620883147. The cubic root of 2507642040 is about 1358.5903141160.

The spelling of 2507642040 in words is "two billion, five hundred seven million, six hundred forty-two thousand, forty".