2951229630048 has 288 divisors, whose sum is σ = 9708540807168. Its totient is φ = 768006144000.

The previous prime is 2951229629983. The next prime is 2951229630053. The reversal of 2951229630048 is 8400369221592.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 5775348 + ... + 6265548.

It is an arithmetic number, because the mean of its divisors is an integer number (33710211136).

Almost surely, 2^{2951229630048} is an apocalyptic number.

2951229630048 is a gapful number since it is divisible by the number (28) 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 2951229630048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854270403584).

2951229630048 is an abundant number, since it is smaller than the sum of its proper divisors (6757311177120).

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

2951229630048 is a wasteful number, since it uses less digits than its factorization.

2951229630048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490286 (or 490261 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 2951229630048 in words is "two trillion, nine hundred fifty-one billion, two hundred twenty-nine million, six hundred thirty thousand, forty-eight".