2450139840 has 280 divisors, whose sum is σ = 8773942320. Its totient is φ = 651691008.

The previous prime is 2450139803. The next prime is 2450139863. The reversal of 2450139840 is 489310542.

2450139840 is a `hidden beast` number, since 24 + 501 + 3 + 98 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2450139795 and 2450139804.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6298366 + ... + 6298754.

Almost surely, 2^2450139840 is an apocalyptic number.

2450139840 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 2450139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386971160).

2450139840 is an abundant number, since it is smaller than the sum of its proper divisors (6323802480).

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

2450139840 is an frugal number, since it uses more digits than its factorization.

2450139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2450139840 is about 49498.8872602203. The cubic root of 2450139840 is about 1348.1253981440.

The spelling of 2450139840 in words is "two billion, four hundred fifty million, one hundred thirty-nine thousand, eight hundred forty".