2940151434480 has 240 divisors, whose sum is σ = 10714724276256. Its totient is φ = 718204631040.

The previous prime is 2940151434469. The next prime is 2940151434527. The reversal of 2940151434480 is 844341510492.

2940151434480 is a `hidden beast` number, since 2 + 94 + 0 + 1 + 51 + 4 + 34 + 480 = 666.

2940151434480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×2940151434480³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27234 + ... + 2425086.

Almost surely, 2^{2940151434480} is an apocalyptic number.

2940151434480 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 2940151434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5357362138128).

2940151434480 is an abundant number, since it is smaller than the sum of its proper divisors (7774572841776).

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

2940151434480 is a wasteful number, since it uses less digits than its factorization.

2940151434480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398016 (or 2398007 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2940151434480 in words is "two trillion, nine hundred forty billion, one hundred fifty-one million, four hundred thirty-four thousand, four hundred eighty".