2934481352040 has 1280 divisors, whose sum is σ = 12248885214720. Its totient is φ = 614873825280.

The previous prime is 2934481352003. The next prime is 2934481352051. The reversal of 2934481352040 is 402531844392.

2934481352040 is a `hidden beast` number, since 2 + 9 + 3 + 4 + 4 + 81 + 3 + 520 + 40 = 666.

It is a super-2 number, since 2×2934481352040² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3330852400 + ... + 3330853280.

It is an arithmetic number, because the mean of its divisors is an integer number (9569441574).

Almost surely, 2^{2934481352040} is an apocalyptic number.

2934481352040 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 2934481352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124442607360).

2934481352040 is an abundant number, since it is smaller than the sum of its proper divisors (9314403862680).

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

2934481352040 is a wasteful number, since it uses less digits than its factorization.

2934481352040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2934481352040 in words is "two trillion, nine hundred thirty-four billion, four hundred eighty-one million, three hundred fifty-two thousand, forty".