2141550400 has 168 divisors, whose sum is σ = 5782665600. Its totient is φ = 774144000.

The previous prime is 2141550391. The next prime is 2141550409. The reversal of 2141550400 is 40551412.

It is an interprime number because it is at equal distance from previous prime (2141550391) and next prime (2141550409).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141550409) 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, 4769376 + ... + 4769824.

Almost surely, 2^2141550400 is an apocalyptic number.

2141550400 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 2141550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891332800).

2141550400 is an abundant number, since it is smaller than the sum of its proper divisors (3641115200).

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

2141550400 is a wasteful number, since it uses less digits than its factorization.

2141550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2141550400 is about 46276.8884001507. Note that the first 3 decimals coincide. The cubic root of 2141550400 is about 1288.9698724823.

The spelling of 2141550400 in words is "two billion, one hundred forty-one million, five hundred fifty thousand, four hundred".