2514213240000 has 1120 divisors, whose sum is σ = 10464701423616. Its totient is φ = 517347840000.

The previous prime is 2514213239971. The next prime is 2514213240017. The reversal of 2514213240000 is 423124152.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 988678729 + ... + 988681271.

Almost surely, 2^{2514213240000} is an apocalyptic number.

2514213240000 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 2514213240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232350711808).

2514213240000 is an abundant number, since it is smaller than the sum of its proper divisors (7950488183616).

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

2514213240000 is a wasteful number, since it uses less digits than its factorization.

2514213240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 2514213240000 its reverse (423124152), we get a palindrome (2514636364152).

The spelling of 2514213240000 in words is "two trillion, five hundred fourteen billion, two hundred thirteen million, two hundred forty thousand".