2506142460 has 96 divisors (see below), whose sum is σ = 7360496640. Its totient is φ = 636380928.

The previous prime is 2506142459. The next prime is 2506142467. The reversal of 2506142460 is 642416052.

2506142460 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506142467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92331 + ... + 116349.

It is an arithmetic number, because the mean of its divisors is an integer number (76671840).

Almost surely, 2^2506142460 is an apocalyptic number.

2506142460 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 2506142460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680248320).

2506142460 is an abundant number, since it is smaller than the sum of its proper divisors (4854354180).

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

2506142460 is a wasteful number, since it uses less digits than its factorization.

2506142460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24115 (or 24113 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2506142460 is about 50061.3869164649. The cubic root of 2506142460 is about 1358.3194459627.

The spelling of 2506142460 in words is "two billion, five hundred six million, one hundred forty-two thousand, four hundred sixty".