2460157440 has 320 divisors, whose sum is σ = 8690818752. Its totient is φ = 589824000.

The previous prime is 2460157439. The next prime is 2460157457. The reversal of 2460157440 is 447510642.

It is a tau number, because it is divible by the number of its divisors (320).

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, 4093140 + ... + 4093740.

Almost surely, 2^2460157440 is an apocalyptic number.

2460157440 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 2460157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345409376).

2460157440 is an abundant number, since it is smaller than the sum of its proper divisors (6230661312).

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

2460157440 is a wasteful number, since it uses less digits than its factorization.

2460157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 2460157440 is about 49599.9741935417. The cubic root of 2460157440 is about 1349.9602073319.

It can be divided in two parts, 2460 and 157440, that multiplied together give a square (387302400 = 19680²).

The spelling of 2460157440 in words is "two billion, four hundred sixty million, one hundred fifty-seven thousand, four hundred forty".