2714964252000 has 3072 divisors, whose sum is σ = 12903655145472. Its totient is φ = 480522240000.

The previous prime is 2714964251963. The next prime is 2714964252067. The reversal of 2714964252000 is 2524694172.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 8564555842 + ... + 8564556158.

It is an arithmetic number, because the mean of its divisors is an integer number (4200408576).

Almost surely, 2^{2714964252000} is an apocalyptic number.

2714964252000 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 2714964252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451827572736).

2714964252000 is an abundant number, since it is smaller than the sum of its proper divisors (10188690893472).

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

2714964252000 is a wasteful number, since it uses less digits than its factorization.

2714964252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 2714964252000 in words is "two trillion, seven hundred fourteen billion, nine hundred sixty-four million, two hundred fifty-two thousand".