2514102240 has 192 divisors, whose sum is σ = 8555512896. Its totient is φ = 616906752.

The previous prime is 2514102221. The next prime is 2514102257. The reversal of 2514102240 is 422014152.

2514102240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3849754 + ... + 3850406.

It is an arithmetic number, because the mean of its divisors is an integer number (44559963).

Almost surely, 2^2514102240 is an apocalyptic number.

2514102240 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 2514102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277756448).

2514102240 is an abundant number, since it is smaller than the sum of its proper divisors (6041410656).

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

2514102240 is a wasteful number, since it uses less digits than its factorization.

2514102240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2514102240 is about 50140.8240857687. The cubic root of 2514102240 is about 1359.7559827482.

Adding to 2514102240 its reverse (422014152), we get a palindrome (2936116392).

The spelling of 2514102240 in words is "two billion, five hundred fourteen million, one hundred two thousand, two hundred forty".