2514401280 has 144 divisors (see below), whose sum is σ = 8714782440. Its totient is φ = 670482432.

The previous prime is 2514401261. The next prime is 2514401353. The reversal of 2514401280 is 821044152.

2514401280 is a `hidden beast` number, since 251 + 4 + 401 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78519 + ... + 105801.

Almost surely, 2^2514401280 is an apocalyptic number.

2514401280 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 2514401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357391220).

2514401280 is an abundant number, since it is smaller than the sum of its proper divisors (6200381160).

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

2514401280 is a wasteful number, since it uses less digits than its factorization.

2514401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27316 (or 27293 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2514401280 is about 50143.8059983484. The cubic root of 2514401280 is about 1359.8098926890.

The spelling of 2514401280 in words is "two billion, five hundred fourteen million, four hundred one thousand, two hundred eighty".