2951045351136 has 384 divisors, whose sum is σ = 9299157073920. Its totient is φ = 918481213440.

The previous prime is 2951045351129. The next prime is 2951045351171. The reversal of 2951045351136 is 6311535401592.

2951045351136 is a `hidden beast` number, since 2 + 9 + 5 + 10 + 453 + 51 + 136 = 666.

It is a super-2 number, since 2×2951045351136² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2951045351091 and 2951045351100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151085691 + ... + 151105221.

It is an arithmetic number, because the mean of its divisors is an integer number (24216554880).

Almost surely, 2^{2951045351136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2951045351136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649578536960).

2951045351136 is an abundant number, since it is smaller than the sum of its proper divisors (6348111722784).

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

2951045351136 is a wasteful number, since it uses less digits than its factorization.

2951045351136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19706 (or 19680 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 2951045351136 in words is "two trillion, nine hundred fifty-one billion, forty-five million, three hundred fifty-one thousand, one hundred thirty-six".