2151001400 has 96 divisors (see below), whose sum is σ = 5493398400. Its totient is φ = 779644800.

The previous prime is 2151001373. The next prime is 2151001441. The reversal of 2151001400 is 41001512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75095 + ... + 99705.

It is an arithmetic number, because the mean of its divisors is an integer number (57222900).

Almost surely, 2^2151001400 is an apocalyptic number.

2151001400 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 2151001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746699200).

2151001400 is an abundant number, since it is smaller than the sum of its proper divisors (3342397000).

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

2151001400 is a wasteful number, since it uses less digits than its factorization.

2151001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24669 (or 24660 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 2151001400 is about 46378.8895942971. The cubic root of 2151001400 is about 1290.8632324875.

Adding to 2151001400 its reverse (41001512), we get a palindrome (2192002912).

The spelling of 2151001400 in words is "two billion, one hundred fifty-one million, one thousand, four hundred".