2150702400 has 756 divisors, whose sum is σ = 9265997216. Its totient is φ = 427468800.

The previous prime is 2150702371. The next prime is 2150702417. The reversal of 2150702400 is 42070512.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 93508789 + ... + 93508811.

Almost surely, 2^2150702400 is an apocalyptic number.

2150702400 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 2150702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632998608).

2150702400 is an abundant number, since it is smaller than the sum of its proper divisors (7115294816).

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

2150702400 is a wasteful number, since it uses less digits than its factorization.

2150702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2150702400 is about 46375.6660329531. Note that the first 3 decimals coincide. The cubic root of 2150702400 is about 1290.8034175580.

Multiplying 2150702400 by its sum of digits (21), we get a square (45164750400 = 212520²).

2150702400 divided by its sum of digits (21) gives a square (102414400 = 10120²).

Adding to 2150702400 its reverse (42070512), we get a palindrome (2192772912).

It can be divided in two parts, 215070 and 2400, that added together give a triangular number (217470 = T₆₅₉).

The spelling of 2150702400 in words is "two billion, one hundred fifty million, seven hundred two thousand, four hundred".