2487740640 has 576 divisors, whose sum is σ = 10231764480. Its totient is φ = 496742400.

The previous prime is 2487740603. The next prime is 2487740653. The reversal of 2487740640 is 460477842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2487740592 and 2487740601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11790135 + ... + 11790345.

It is an arithmetic number, because the mean of its divisors is an integer number (17763480).

Almost surely, 2^2487740640 is an apocalyptic number.

2487740640 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 2487740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115882240).

2487740640 is an abundant number, since it is smaller than the sum of its proper divisors (7744023840).

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

2487740640 is a wasteful number, since it uses less digits than its factorization.

2487740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 2487740640 is about 49877.2557384626. The cubic root of 2487740640 is about 1354.9867039358.

The spelling of 2487740640 in words is "two billion, four hundred eighty-seven million, seven hundred forty thousand, six hundred forty".