2506255761220 has 48 divisors (see below), whose sum is σ = 5404566929328. Its totient is φ = 975902146560.

The previous prime is 2506255761199. The next prime is 2506255761227. The reversal of 2506255761220 is 221675526052.

It can be written as a sum of positive squares in 8 ways, for example, as 1001276407044 + 1504979354176 = 1000638^2 + 1226776^2 .

It is not an unprimeable number, because it can be changed into a prime (2506255761227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10470877 + ... + 10707556.

It is an arithmetic number, because the mean of its divisors is an integer number (112595144361).

Almost surely, 2^{2506255761220} is an apocalyptic number.

2506255761220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506255761220 is an abundant number, since it is smaller than the sum of its proper divisors (2898311168108).

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

2506255761220 is a wasteful number, since it uses less digits than its factorization.

2506255761220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21178600 (or 21178598 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 2506255761220 in words is "two trillion, five hundred six billion, two hundred fifty-five million, seven hundred sixty-one thousand, two hundred twenty".