2141284800 has 336 divisors, whose sum is σ = 7551480960. Its totient is φ = 529551360.

The previous prime is 2141284787. The next prime is 2141284801. The reversal of 2141284800 is 84821412.

2141284800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2141284800² = 9170201189422080000, which contains 22 as substring.

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 (2141284801) 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, 4833379 + ... + 4833821.

Almost surely, 2^2141284800 is an apocalyptic number.

2141284800 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 2141284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775740480).

2141284800 is an abundant number, since it is smaller than the sum of its proper divisors (5410196160).

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

2141284800 is a wasteful number, since it uses less digits than its factorization.

2141284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2141284800 is about 46274.0186281676. The cubic root of 2141284800 is about 1288.9165832777.

The spelling of 2141284800 in words is "two billion, one hundred forty-one million, two hundred eighty-four thousand, eight hundred".