5031777240 has 512 divisors, whose sum is σ = 20217600000. Its totient is φ = 1088833536.

The previous prime is 5031777221. The next prime is 5031777259. The reversal of 5031777240 is 427771305.

It is an interprime number because it is at equal distance from previous prime (5031777221) and next prime (5031777259).

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 = 5031777195 and 5031777204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12934966 + ... + 12935354.

It is an arithmetic number, because the mean of its divisors is an integer number (39487500).

Almost surely, 2^5031777240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5031777240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10108800000).

5031777240 is an abundant number, since it is smaller than the sum of its proper divisors (15185822760).

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

5031777240 is a wasteful number, since it uses less digits than its factorization.

5031777240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 5031777240 is about 70935.0212518471. The cubic root of 5031777240 is about 1713.5908537437.

The spelling of 5031777240 in words is "five billion, thirty-one million, seven hundred seventy-seven thousand, two hundred forty".