2500000000000 has 168 divisors, whose sum is σ = 6248474120070. Its totient is φ = 1000000000000.

The previous prime is 2499999999971. The next prime is 2500000000009. The reversal of 2500000000000 is 52.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 7 ways, for example, as 638107001856 + 1861892998144 = 798816^2 + 1364512^2 .

It is a sliding number, since 2500000000000 = 500000000000 + 2000000000000 and 1/500000000000 + 1/2000000000000 = 0.000000000002500000000000.

It is a hoax number, since the sum of its digits (7) coincides with the sum of the digits of its distinct prime factors.

It is an enlightened number because it begins with the concatenation of its prime factors (25).

It is not an unprimeable number, because it can be changed into a prime (2500000000009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 499999999998 + ... + 500000000002.

Almost surely, 2^{2500000000000} is an apocalyptic number.

2500000000000 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 2500000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124237060035).

2500000000000 is an abundant number, since it is smaller than the sum of its proper divisors (3748474120070).

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

2500000000000 is an frugal number, since it uses more digits than its factorization.

2500000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

Multiplying 2500000000000 by its product of nonzero digits (10), we get a square (25000000000000 = 5000000²).

2500000000000 divided by its product of nonzero digits (10) gives a square (250000000000 = 500000²).

Adding to 2500000000000 its reverse (52), we get a palindrome (2500000000052).

It can be divided in two parts, 2 and 500000000000, that multiplied together give a 12-th power (1000000000000 = 10¹²).

The spelling of 2500000000000 in words is "two trillion, five hundred billion", and thus it is an aban number.