2971203840 has 216 divisors, whose sum is σ = 11215084608. Its totient is φ = 720261120.

The previous prime is 2971203827. The next prime is 2971203877. The reversal of 2971203840 is 483021792.

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 = 2971203795 and 2971203804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114997 + ... + 138443.

It is an arithmetic number, because the mean of its divisors is an integer number (51921688).

Almost surely, 2^2971203840 is an apocalyptic number.

2971203840 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 2971203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607542304).

2971203840 is an abundant number, since it is smaller than the sum of its proper divisors (8243880768).

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

2971203840 is a wasteful number, since it uses less digits than its factorization.

2971203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23485 (or 23468 counting only the distinct ones).

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

The square root of 2971203840 is about 54508.7501232600. The cubic root of 2971203840 is about 1437.6201431027.

The spelling of 2971203840 in words is "two billion, nine hundred seventy-one million, two hundred three thousand, eight hundred forty".