2457464106240 has 1440 divisors, whose sum is σ = 10460238155136. Its totient is φ = 543024414720.

The previous prime is 2457464106239. The next prime is 2457464106241. The reversal of 2457464106240 is 426014647542.

It is a happy number.

2457464106240 is a `hidden beast` number, since 2 + 4 + 5 + 7 + 4 + 6 + 4 + 10 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2457464106239) and next prime (2457464106241).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2457464106241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1230576922 + ... + 1230578918.

Almost surely, 2^{2457464106240} is an apocalyptic number.

2457464106240 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 2457464106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230119077568).

2457464106240 is an abundant number, since it is smaller than the sum of its proper divisors (8002774048896).

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

2457464106240 is a wasteful number, since it uses less digits than its factorization.

2457464106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2137 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 2457464106240 in words is "two trillion, four hundred fifty-seven billion, four hundred sixty-four million, one hundred six thousand, two hundred forty".