2140776000 has 896 divisors, whose sum is σ = 9243486720. Its totient is φ = 479232000.

The previous prime is 2140775929. The next prime is 2140776031. The reversal of 2140776000 is 6770412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40391974 + ... + 40392026.

Almost surely, 2^2140776000 is an apocalyptic number.

2140776000 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 2140776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621743360).

2140776000 is an abundant number, since it is smaller than the sum of its proper divisors (7102710720).

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

2140776000 is a wasteful number, since it uses less digits than its factorization.

2140776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2140776000 is about 46268.5206160733. The cubic root of 2140776000 is about 1288.8144868313.

The spelling of 2140776000 in words is "two billion, one hundred forty million, seven hundred seventy-six thousand".