2681414400 has 432 divisors, whose sum is σ = 10292341248. Its totient is φ = 602112000.

The previous prime is 2681414399. The next prime is 2681414413. The reversal of 2681414400 is 44141862.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9542260 + ... + 9542540.

It is an arithmetic number, because the mean of its divisors is an integer number (23824864).

Almost surely, 2^2681414400 is an apocalyptic number.

2681414400 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 2681414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146170624).

2681414400 is an abundant number, since it is smaller than the sum of its proper divisors (7610926848).

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

2681414400 is a wasteful number, since it uses less digits than its factorization.

2681414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2681414400 is about 51782.3753800461. The cubic root of 2681414400 is about 1389.2742273263.

It can be divided in two parts, 26814 and 14400, that added together give a palindrome (41214).

The spelling of 2681414400 in words is "two billion, six hundred eighty-one million, four hundred fourteen thousand, four hundred".