2151753840 has 120 divisors (see below), whose sum is σ = 7325476080. Its totient is φ = 565926912.

The previous prime is 2151753829. The next prime is 2151753871. The reversal of 2151753840 is 483571512.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2151753795 and 2151753804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32091 + ... + 73029.

It is an arithmetic number, because the mean of its divisors is an integer number (61045634).

Almost surely, 2^2151753840 is an apocalyptic number.

2151753840 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 2151753840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662738040).

2151753840 is an abundant number, since it is smaller than the sum of its proper divisors (5173722240).

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

2151753840 is a wasteful number, since it uses less digits than its factorization.

2151753840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41031 (or 41022 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2151753840 is about 46387.0007653006. Note that the first 3 decimals coincide. The cubic root of 2151753840 is about 1291.0137335358.

It can be divided in two parts, 21517 and 53840, that added together give a palindrome (75357).

The spelling of 2151753840 in words is "two billion, one hundred fifty-one million, seven hundred fifty-three thousand, eight hundred forty".