2140469760 has 320 divisors, whose sum is σ = 8043235200. Its totient is φ = 478740480.

The previous prime is 2140469759. The next prime is 2140469761. The reversal of 2140469760 is 679640412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2140469759) and next prime (2140469761).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2140469760² = 9163221586948915200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140469761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097266 + ... + 1099214.

It is an arithmetic number, because the mean of its divisors is an integer number (25135110).

Almost surely, 2^2140469760 is an apocalyptic number.

2140469760 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 2140469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021617600).

2140469760 is an abundant number, since it is smaller than the sum of its proper divisors (5902765440).

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

2140469760 is a wasteful number, since it uses less digits than its factorization.

2140469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2140469760 is about 46265.2111202359. The cubic root of 2140469760 is about 1288.7530285298.

The spelling of 2140469760 in words is "two billion, one hundred forty million, four hundred sixty-nine thousand, seven hundred sixty".