2951378764800 has 264 divisors, whose sum is σ = 9757613332896. Its totient is φ = 786779996160.

The previous prime is 2951378764783. The next prime is 2951378764811. The reversal of 2951378764800 is 84678731592.

It is a super-2 number, since 2×2951378764800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448739112 + ... + 448745688.

It is an arithmetic number, because the mean of its divisors is an integer number (36960656564).

It is a 1-persistent number, because it is pandigital, but 2⋅2951378764800 = 5902757529600 is not.

Almost surely, 2^{2951378764800} is an apocalyptic number.

2951378764800 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 2951378764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878806666448).

2951378764800 is an abundant number, since it is smaller than the sum of its proper divisors (6806234568096).

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

2951378764800 is a wasteful number, since it uses less digits than its factorization.

2951378764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12453 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 2951378764800 in words is "two trillion, nine hundred fifty-one billion, three hundred seventy-eight million, seven hundred sixty-four thousand, eight hundred".