2907734213142 has 512 divisors, whose sum is σ = 7688550481920. Its totient is φ = 806246784000.

The previous prime is 2907734213123. The next prime is 2907734213149. The reversal of 2907734213142 is 2413124377092.

2907734213142 is a `hidden beast` number, since 2 + 90 + 7 + 73 + 421 + 31 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2907734213149) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3006963543 + ... + 3006964509.

It is an arithmetic number, because the mean of its divisors is an integer number (15016700160).

Almost surely, 2^{2907734213142} is an apocalyptic number.

2907734213142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2907734213142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844275240960).

2907734213142 is an abundant number, since it is smaller than the sum of its proper divisors (4780816268778).

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

2907734213142 is a wasteful number, since it uses less digits than its factorization.

2907734213142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 2907734213142 in words is "two trillion, nine hundred seven billion, seven hundred thirty-four million, two hundred thirteen thousand, one hundred forty-two".