2511312253400 has 192 divisors, whose sum is σ = 6225814781280. Its totient is φ = 938788659200.

The previous prime is 2511312253399. The next prime is 2511312253403. The reversal of 2511312253400 is 43522131152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2511312253403) 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, 571140002 + ... + 571144398.

Almost surely, 2^{2511312253400} is an apocalyptic number.

2511312253400 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 2511312253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112907390640).

2511312253400 is an abundant number, since it is smaller than the sum of its proper divisors (3714502527880).

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

2511312253400 is a wasteful number, since it uses less digits than its factorization.

2511312253400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 2511312253400 its reverse (43522131152), we get a palindrome (2554834384552).

The spelling of 2511312253400 in words is "two trillion, five hundred eleven billion, three hundred twelve million, two hundred fifty-three thousand, four hundred".