2972055240 has 864 divisors, whose sum is σ = 13280379840. Its totient is φ = 585066240.

The previous prime is 2972055167. The next prime is 2972055257. The reversal of 2972055240 is 425502792.

It is a happy number.

2972055240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2972055240³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 2972055195 and 2972055204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 156423951 + ... + 156423969.

It is an arithmetic number, because the mean of its divisors is an integer number (15370810).

Almost surely, 2^2972055240 is an apocalyptic number.

2972055240 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 2972055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640189920).

2972055240 is an abundant number, since it is smaller than the sum of its proper divisors (10308324600).

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

2972055240 is a wasteful number, since it uses less digits than its factorization.

2972055240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2972055240 is about 54516.5593191647. The cubic root of 2972055240 is about 1437.7574469211.

The spelling of 2972055240 in words is "two billion, nine hundred seventy-two million, fifty-five thousand, two hundred forty".