2150400000 has 384 divisors, whose sum is σ = 8191350720. Its totient is φ = 491520000.

The previous prime is 2150399983. The next prime is 2150400011. The reversal of 2150400000 is 40512.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2000 × 560 × 1920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307199997 + ... + 307200003.

Almost surely, 2^2150400000 is an apocalyptic number.

2150400000 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 2150400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095675360).

2150400000 is an abundant number, since it is smaller than the sum of its proper divisors (6040950720).

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

2150400000 is an frugal number, since it uses more digits than its factorization.

2150400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2150400000 is about 46372.4055878062. The cubic root of 2150400000 is about 1290.7429168196.

Adding to 2150400000 its reverse (40512), we get a palindrome (2150440512).

The spelling of 2150400000 in words is "two billion, one hundred fifty million, four hundred thousand".