2981920500 has 288 divisors, whose sum is σ = 10455419520. Its totient is φ = 733449600.

The previous prime is 2981920483. The next prime is 2981920517. The reversal of 2981920500 is 50291892.

It is an interprime number because it is at equal distance from previous prime (2981920483) and next prime (2981920517).

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 95 ways as a sum of consecutive naturals, for example, 2280847 + ... + 2282153.

It is an arithmetic number, because the mean of its divisors is an integer number (36303540).

Almost surely, 2^2981920500 is an apocalyptic number.

2981920500 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 2981920500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227709760).

2981920500 is an abundant number, since it is smaller than the sum of its proper divisors (7473499020).

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

2981920500 is a wasteful number, since it uses less digits than its factorization.

2981920500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 2981920500 is about 54606.9638416201. The cubic root of 2981920500 is about 1439.3464916607.

The spelling of 2981920500 in words is "two billion, nine hundred eighty-one million, nine hundred twenty thousand, five hundred".