2513380800 has 672 divisors, whose sum is σ = 10320609280. Its totient is φ = 522547200.

The previous prime is 2513380757. The next prime is 2513380801. The reversal of 2513380800 is 80833152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513380801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19790337 + ... + 19790463.

Almost surely, 2^2513380800 is an apocalyptic number.

2513380800 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 2513380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160304640).

2513380800 is an abundant number, since it is smaller than the sum of its proper divisors (7807228480).

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

2513380800 is a wasteful number, since it uses less digits than its factorization.

2513380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2513380800 is about 50133.6294317497. The cubic root of 2513380800 is about 1359.6259063351.

The spelling of 2513380800 in words is "two billion, five hundred thirteen million, three hundred eighty thousand, eight hundred".