2506247820 has 144 divisors (see below), whose sum is σ = 8045987040. Its totient is φ = 629710848.

The previous prime is 2506247803. The next prime is 2506247827. The reversal of 2506247820 is 287426052.

2506247820 is a `hidden beast` number, since 2 + 5 + 0 + 624 + 7 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2506247827) 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, 658162 + ... + 661958.

It is an arithmetic number, because the mean of its divisors is an integer number (55874910).

Almost surely, 2^2506247820 is an apocalyptic number.

2506247820 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 2506247820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022993520).

2506247820 is an abundant number, since it is smaller than the sum of its proper divisors (5539739220).

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

2506247820 is a wasteful number, since it uses less digits than its factorization.

2506247820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2506247820 is about 50062.4392134462. The cubic root of 2506247820 is about 1358.3384805991.

The spelling of 2506247820 in words is "two billion, five hundred six million, two hundred forty-seven thousand, eight hundred twenty".