2140260759000 has 1536 divisors, whose sum is σ = 9389781273600. Its totient is φ = 446966553600.

The previous prime is 2140260758971. The next prime is 2140260759079. The reversal of 2140260759000 is 9570620412.

2140260759000 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 2 + 60 + 7 + 590 + 0 + 0 = 666.

It is a super-2 number, since 2×2140260759000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1840292419 + ... + 1840293581.

It is an arithmetic number, because the mean of its divisors is an integer number (6113138850).

Almost surely, 2^{2140260759000} is an apocalyptic number.

2140260759000 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 2140260759000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694890636800).

2140260759000 is an abundant number, since it is smaller than the sum of its proper divisors (7249520514600).

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

2140260759000 is a wasteful number, since it uses less digits than its factorization.

2140260759000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 2140260759000 in words is "two trillion, one hundred forty billion, two hundred sixty million, seven hundred fifty-nine thousand".