2981370240 has 480 divisors, whose sum is σ = 11366982000. Its totient is φ = 744505344.

The previous prime is 2981370233. The next prime is 2981370247. The reversal of 2981370240 is 420731892.

It is an interprime number because it is at equal distance from previous prime (2981370233) and next prime (2981370247).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2981370195 and 2981370204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981370247) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14981661 + ... + 14981859.

Almost surely, 2^2981370240 is an apocalyptic number.

2981370240 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 2981370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683491000).

2981370240 is an abundant number, since it is smaller than the sum of its proper divisors (8385611760).

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

2981370240 is a wasteful number, since it uses less digits than its factorization.

2981370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2981370240 is about 54601.9252407825. The cubic root of 2981370240 is about 1439.2579510124.

The spelling of 2981370240 in words is "two billion, nine hundred eighty-one million, three hundred seventy thousand, two hundred forty".