2151345440 has 192 divisors, whose sum is σ = 5486745600. Its totient is φ = 795648000.

The previous prime is 2151345437. The next prime is 2151345467. The reversal of 2151345440 is 445431512.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14438486 + ... + 14438634.

It is an arithmetic number, because the mean of its divisors is an integer number (28576800).

Almost surely, 2^2151345440 is an apocalyptic number.

2151345440 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 2151345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743372800).

2151345440 is an abundant number, since it is smaller than the sum of its proper divisors (3335400160).

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

2151345440 is a wasteful number, since it uses less digits than its factorization.

2151345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 2151345440 is about 46382.5984610608. The cubic root of 2151345440 is about 1290.9320508080.

Adding to 2151345440 its reverse (445431512), we get a palindrome (2596776952).

The spelling of 2151345440 in words is "two billion, one hundred fifty-one million, three hundred forty-five thousand, four hundred forty".