2506155255400 has 96 divisors (see below), whose sum is σ = 5848935744600. Its totient is φ = 998659584000.

The previous prime is 2506155255367. The next prime is 2506155255403. The reversal of 2506155255400 is 45525516052.

It can be written as a sum of positive squares in 12 ways, for example, as 434104405956 + 2072050849444 = 658866^2 + 1439462^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2506155255403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112731486 + ... + 112753714.

Almost surely, 2^{2506155255400} is an apocalyptic number.

2506155255400 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 2506155255400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924467872300).

2506155255400 is an abundant number, since it is smaller than the sum of its proper divisors (3342780489200).

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

2506155255400 is a wasteful number, since it uses less digits than its factorization.

2506155255400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24359 (or 24350 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 40.

The spelling of 2506155255400 in words is "two trillion, five hundred six billion, one hundred fifty-five million, two hundred fifty-five thousand, four hundred".