2681251200 has 192 divisors, whose sum is σ = 9812950800. Its totient is φ = 714977280.

The previous prime is 2681251189. The next prime is 2681251201. The reversal of 2681251200 is 21521862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×2681251200³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681251201) 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, 70884 + ... + 101916.

Almost surely, 2^2681251200 is an apocalyptic number.

2681251200 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 2681251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906475400).

2681251200 is an abundant number, since it is smaller than the sum of its proper divisors (7131699600).

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

2681251200 is a wasteful number, since it uses less digits than its factorization.

2681251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31066 (or 31043 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2681251200 is about 51780.7995303278. The cubic root of 2681251200 is about 1389.2460414363.

The spelling of 2681251200 in words is "two billion, six hundred eighty-one million, two hundred fifty-one thousand, two hundred".