273814970940 has 864 divisors, whose sum is σ = 1074235169280. Its totient is φ = 57150614016.

The previous prime is 273814970939. The next prime is 273814970941. The reversal of 273814970940 is 49079418372.

273814970940 is a `hidden beast` number, since 2 + 73 + 81 + 497 + 0 + 9 + 4 + 0 = 666.

273814970940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (273814970939) and next prime (273814970941).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273814970941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2559018367 + ... + 2559018473.

Almost surely, 2^273814970940 is an apocalyptic number.

273814970940 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 273814970940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537117584640).

273814970940 is an abundant number, since it is smaller than the sum of its proper divisors (800420198340).

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

273814970940 is a wasteful number, since it uses less digits than its factorization.

273814970940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 273814970940 in words is "two hundred seventy-three billion, eight hundred fourteen million, nine hundred seventy thousand, nine hundred forty".