2940672000 has 384 divisors, whose sum is σ = 11202347520. Its totient is φ = 670924800.

The previous prime is 2940671941. The next prime is 2940672011. The reversal of 2940672000 is 2760492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×2940672000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375727 + ... + 5376273.

It is an arithmetic number, because the mean of its divisors is an integer number (29172780).

Almost surely, 2^2940672000 is an apocalyptic number.

2940672000 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 2940672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601173760).

2940672000 is an abundant number, since it is smaller than the sum of its proper divisors (8261675520).

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

2940672000 is an equidigital number, since it uses as much as digits as its factorization.

2940672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2940672000 is about 54227.9632661969. The cubic root of 2940672000 is about 1432.6788911879.

The spelling of 2940672000 in words is "two billion, nine hundred forty million, six hundred seventy-two thousand".